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Die Primärwirkung von Röntgenstrahlung einer Dosis von 2 — 30 Millionen r auf kristallisiertes Lysozym wurde mit Hilfe physikalisch-chemischer (Elektrophorese, Ultrazentrifuge), chemischer, biochemischer und biologischer Arbeitsmethoden untersucht. Es wurde gefunden, daß durch Bestrahlung eine Reihe nah verwandter, jedoch weniger basischer Proteine verschiedenen Mol.-Gew. entsteht, deren Aminosäure-Bausteine als Folge der Bestrahlung teilweise in andere Verbindungen umgewandelt wurden. Bei der Untersuchung der amino- und carboxyl-endständigen Aminosäuren des bestrahlten Proteins wurden Unterschiede gegenüber Lysozym nur bei den carboxyl-terminalen Gruppen festgestellt. Die biologische Aktivität des Proteins blieb auch nach Bestrahlung mit einer Dosis von 5 Millionen r praktisch unverändert.
Die Primärwirkung von Röntgenstrahlen einer Dosis von etwa 0,5 bis 150 Millionen r auf die kristallisierte Trockensubstanz von Aminosäuren und Peptiden wurde mit Hilfe chemischer, biochemischer und physikalisch-chemischer Arbeitsmethoden untersucht. Es wurde gefunden, daß in allen prinzipiell möglichen Fällen folgende Reaktionen stets wiederkehren : Aminbildung infolge Decarboxylierung; Bildung einer α-Imino- bzw. α-Ketocarbonsäure infolge einer Dehydrierung in α-,β-Stellung; Bildung von β,γ- bzw. γ-δ-ungesättigten α-Aminocarbonsäuren oder deren γ- bzw. δ-Lactonen; Bruch und Vernetzung der aliphatischen Kohlenstoffketten. Bei Peptiden treten die gleichen Reaktionen wie bei den Aminosäuren auf, jedoch in einem anderen Verhältnis; hinzu kommt die strahlenchemische Dehydrierung einer Peptidbindung an der Aminogruppe zu einer energiereichen Iminoacyl-Bindung, welche bei Gegenwart von Wasser sofort hydrolysiert wird. Endprodukt namentlich bei längerkettigen Peptiden : Zwei Bruchstücke (daneben NH3); das eine mit alter amino-endständiger und neuer carboxyl-endständiger Aminosäure und das andere mit der alten carboxy-endständigen Aminosäure, statt Aminogruppe am anderen Ende jetzt Ketogruppe. — In fast allen Fällen wurden die Ionenausbeuten auch quantitativ bestimmt. Die lonenausbeuten für die Bildung von α-Ketosäuren aus α-Aminosäuren fallen exponentiell mit der eingestrahlten Dosis. Eine relativ einfache Funktion erklärt diese Verhältnisse. Die Ionenausbeute für die Bildung von Brenztraubensäure aus Serin ist dagegen unabhängig von der Dosis.
Es wird der Einfluß von Röntgenstrahlen und ultravioletten Strahlen verschiedener Wellenlängen auf kernhaltige Zellteile von Acetabularia mediterranea untersucht. Die Röntgenbestrahlung führt zu einer Verminderung des Regenerationsvermögens der Zellteile, zu einer Verringerung der Cystenbildung der Regenerate und zu einer Herabsetzung der Lebensfähigkeit der Cysten. Erst nach einer Dosis von 400 kr ist das Regenerationsvermögen fast völlig zerstört. Die Fähigkeit zur Bildung fortpflanzungsfähiger Gameten geht bereits nach 40 kr verloren. Die Wirkung von UV-Bestrahlungen ist demgegenüber sehr gering. Es wird geschlossen, daß die beobachteten Leistungen der kernhaltigen Zellteile wesentlich durch den Zellkern bestimmt sind, der im Rhizoid gegen die UV-Strahlung weitgehend abgeschirmt ist. Erfolgt eine vollständige Regeneration bis zur Hutbildung, so scheinen Größe und Gestalt der ausgewachsenen Regenerate nicht wesentlich von der Röntgenbestrahlung beeinflußt zu sein. In den meisten Fällen bilden Hutregenerate auch Cysten.
I. X-irradiation of isolated rat diaphragm with 10 to 200 kr produces a change in tissue metabolism which we schematize in two successive phases:
1st phase: Increase of oxygen comsumption, proportional to the dosage; an even greater increase of CO2 production; QCO2/QO2 > 1, that is, aerobic glycolysis; inhibition of anaerobic glycolysis.
2nd phase: Reduction of oxygen consumption, proportional to the dosage (over 65 kr the Qo2 decreases below the control); an even greater decrease of CO2 production: QCO2/QO2 > 1; a greater inhibition of anaerobic glycolysis.
With 200 kr or more no increase of respiration appears, but instead from the beginning there is a reduction of the metabolism as described in the second phase.
II. A similar effect is found in rat liver and in frog heart tissue.
III. When the tissue was incubated in the homologus serum no change in the quality of the described effect was observed. Under our experimental conditions the tissue was X-irradiated within a small quantity of incubation medium and immediately afterwards placed in a fresh medium; this limits the effect of oxidative radicals (arising in the X-irradiated water) upon the tissue.
IV. We set forth the experimental hypothesis that all the described changes in the metabolism of the cell after X-irradiation depend upon a primary alteration of electrolyte balance in the cell, especially of the potassium/sodium relationship. The well known decrease of glycolysis after X-irradiation is a consequence of the loss of potassium from the X-irradiated cell.
In der vorliegenden Arbeit wird die Frequenzabhängigkeit des dielektrischen Verhaltens einer Suspension von Kugeln mit Schale untersucht. Es werden die allgemeine Lösung sowie spezielle Näherungsformeln angegeben. Das Frequenzverhalten wird exakt durch 2 Relaxationsausdrücke vom Debye - Typ, die sich superponieren, charakterisiert.
Die vorgetragenen Formeln erlauben die Analyse der Impedanzkurven von Zellsuspensionen aus Erythrozyten, Bakterien, Seeigeleiern u. a. m., aber auch von Proteinlösungen und anderen Suspensionen.
Trockene Mildisäure-Dehydrogenase wurde mit Protonen verschiedener Energie bis maximal 80 keV in dünnen Schichten bestrahlt. Die Inaktivierungsquerschnitte betrugen bei Zimmertemperatur ca. 0,4·10-12 cm2 und waren in dem gemessenen Energiebereich konstant. Der Einfluß der Teilchenenergie auf den Inaktivierungsverlauf wurde insbesondere bei sehr kleinen Energien abgeschätzt. Bestrahlungen bei verschiedenen Temperaturen zeigten eine Abnahme des Strahleneffektes nach niedrigeren Temperaturen.
An alternative formulation is presented of the formal theory of multi-channel scattering in nonrelativistic quantum mechanics. We start by defining spaces of state vectors, where two particles either stay together or separate in the limit t →+∞ (or — ∞), when the state vector develops in time by e–i H t (H is the complete Hamiltonian of the n-particle system). A channel is defined as a space of state vectors with the following property: Developing in time by e-i H t they asymptotically describe a state of the n-particle system, where the particles are grouped in fragments. Defining a Hamiltonian Hγ for each channel, in which—compared to H—the interactions acting between particles from different fragments are missing, it is physically plausible that lim eiH e—iHt Ψ exists for vectors Ψ in the channel. Having discussed the limit vectors (asymptotic states), the S-matrix formalism can be introduced as usual. Finally the introduction of the exclusion principle is discussed.
Es wurde das Leitfähigkeitsverhalten von reinem, lufthaltigem Wasser bei kontinuierlicher und impulsgetasteter Röntgenbestrahlung (60 kV8) untersucht. Hierbei ergaben sich zwei einander überlagerte Effekte: 1. Ein der Röntgen-Dosisleistung proportionaler irreversibler Leitfähigkeitsanstieg, der vermutlich auf eine Strahlenreaktion des gelösten CO2 zurückzuführen ist, 2. eine reversible Leitfähigkeitserhöhung während der Bestrahlung, die sich mit der Entstehung einer Ionenart mit einer mittleren Lebensdauer von ca. 0,15 sec erklären läßt. Es wird angenommen, daß es sich dabei um Radikalionen O2⊖ handelt, welche durch die Reaktion der als Strahlungsprodukt entstehenden Η-Radikale mit dem gelösten Sauerstoff gebildet werden. Ein möglicher chemischer Reaktionsmechanismus wird angegeben, der zu befriedigender quantitativer Übereinstimmung der Versuchsergebnisse mit Ausbeutewerten und Reaktionskonstanten aus der Literatur führt.
Über das Absorptionsverhalten verschiedener Quarzglassorten im Spektralbereich von 150 μ bis 275 μ
(1961)
Bei B. cadaveris, die in einem an organischen Substanzen reichen Medium kultiviert wurden, nimmt der O2-Verbrauch pro Zeiteinheit bei Glucoseveratmung mit der Röntgenstrahlendosis ab, während bei Bakterien, die in einem Salzmedium gewachsen sind, die Atmung bis zu einer Dosis von 2 - 3 Mr erst ansteigt, um erst bei höheren Dosen abzufallen. Die Atmung wird erst bei Dosen in der Größenordnung von 1 Million r merklich beeinflußt.
Die Atmung der Bakterien ist damit unter den hier untersuchten Bedingungen noch strahlenresistenter als die Gewebeatmung von Säugetierzellen.
Um die von RAJEWSKY und WOLF aufgeworfene Frage nach dem Einfluß der DNS-Struktur auf die radiationschemische Veränderung der Basen zu untersuchen, wurde die DNS-Spirale bei einem Teil der Untersuchungen in dest. Wasser aufgelöst und mit Röntgenstrahlen bestrahlt. Es ergab sich eine Erhöhung der Strahlenempfindlichkeit der Basen, vor allem zu Beginn der Bestrahlung auf den Wert, den man bei der Bestrahlung der Monomerlösungen beobachtet. Bei Bestrahlung in 0,1 und 1-n. NaCl gelöster DNS sind dagegen die Basen gegen die Einwirkung der im Wasser gebildeten Radikale geschützt, solange sie innerhalb der intakten Spirale gebunden sind. Dieser strukturbedingte Schutzeffekt besteht nicht gegenüber der direkten Strahlenwirkung von UV-Licht. Dieses Ergebnis ist von strahlenbiologischem Interesse, da das Optimum der Strahlenwirkung auf den Mitoseablauf nach Arbeiten von CARLSON und GRAY in der frühen Prophase liegt17, also ebenfalls in einem Stadium, in dem die DNS-Spirale (vor der Verdoppelung) völlig aufgelöst ist. (Vgl. auch BACQ-ALEXANDER und FRITZ-NIGGLI.
Die von verschiedenen Autoren 2–8 experimentell bestimmten Kontrastdicken für Kohle stimmen nicht mit den heute of benutzten numerischen Werten aus der Lenz schen Theorie überein. Die Diskrepanz läßt sich beheben, wenn man zur Auswertung der Theorie einen anderen, schon von LENZ zur Diskussion gestellten Θ-Wert benutzt. Durch Experimente wird gezeigt, daß auch der Bereich, in dem das Exponentialgesetz nicht mehr gilt, gut durch eine aus der Lenz schen Theorie hergeleitete Formel dargestellt werden kann. Der Bereich, in dem das Exponentialgesetz verwandt werden darf, wird näher diskutiert.
Elektronenresonanz-Untersuchungen von Nachreaktionen in einem röntgenbestrahlten Faserprotein
(1962)
Die indirekte Wirkung von Röntgenstrahlen einer Dosis von 0,08 bis 7.5 Millionen r auf eine 2 · 10-2-m. wäßrige Tryptophanlösung wurde mit Hilfe chemischer und physikalisch-chemischer Arbeitsmethoden (Hochspannungs-Elektrophorese) untersucht.
Der Einfluß der Dosis, Dosisleistung, Temperatur und die durch oxydierend wirkende Radikale (HO2) ausgelösten Reaktionsschritte bei Bestrahlung in Sauerstoffatmosphäre wurden in qualitativer Hinsicht geprüft.
Aus der Vielzahl der strahlenchemisch gebildeten Abbauprodukte konnten mit Sicherheit nachgewiesen werden: Glycin, α-Alanin, Asparaginsäure, Kynurenin, 3-Hydroxykynurenin, 3-Oxyanthranilsäure und Tryptamin.
Schließlich wurde versucht, die experimentell gewonnenen Ergebnisse mit Hilfe von Radikalwirkungen, die sich auf
a) Decarboxylierungen
b) und Veränderungen des Kohlenstoff-Gerüstes beziehen, zu deuten.
The two-nucleon potential is assumed to be a quadratic function of momentum: ν = ν1 (r) + pν2(r)p. The BETHE-GOLDSTONE equation (l = 0) has been solved for two different choices of ν. An analytical, approximate solution is obtained.
Es wird auf die Mannigfaltigkeit der Kontraste hingewiesen, die sich bei mit Aldehyden fixiertem, in Vestopal W oder Durcupan ACM eingebettetem Gewebe durch gesteuerte Elektronenbestrahlung erreichen läßt. Voraussetzung für einen einwandfreien Vergleich von Kontrasten bei z. B. verschieden gefärbten Schnitten ist daher eine Bestrahlung, die zu ausreichend definierten Objektveränderungen führt. Brauchbar in diesem Sinne ist eine Bestrahlung, die zum maximalen „reinen Strahlenverlust“ führt, bei der aber thermische Substanzverluste vermieden werden. Der Negativkontrast von Chromatin und Nucleolen und die offenbar physikalisch bedingte Färbbarkeit der nucleinsäurehaltigen Zellbestandteile mittels der „negative-staining“-Methode werden diskutiert.
Bei der UV-Bestrahlung (2537 Å) des Zn-Insulins beobachtet man für kleinere Dosen (bis 10 Einstein/Mol) eine direkte Korrelation zwischen der Inaktivierung und der Photoreduktion einer der drei Disulfidbrücken. Mit steigender Dosis wird die Quantenausbeute für die Reduktion der Disulfidbrücken (Bildung von SH-Gruppen) sehr klein, dagegen führen dann andere Prozesse zunehmend zur photochemischen Zerstörung der Disulfidbrücken. Für größere Strahlendosen (über 100 Einstein/Mol) ergibt die Extrapolation, daß für die völlige Inaktivierung des Insulins sämtliche drei Cystinreste zerstört werden müssen. Von den übrigen Aminosäuren wird durch Dosen um 100 Einstein/Mol nur der Tyrosin-Anteil signifikant vermindert. Mit steigender Strahlendosis ändert sich — wahrscheinlich infolge von Konformationsänderungen der Polypeptidketten — die Photosensibilität der Aminosäuren.
Die Aufgaben der biophysikalischen RöNTGEN-Mikrographie und ihre Besonderheiten werden erläutert. Die Notwendigkeit der Erweiterung des Wellenlängenbereiches der zur Anwendung kommenden RÖNTGEN-Strahlen in das extrem-weiche Gebiet bis zu Quantenenergien von etwa 13 eV wird gezeigt. Es wird über die entsprechenden Studien- und Entwicklungsarbeiten im Max-Planck-Institut für Biophysik in Frankfurt am Main berichtet. Insbesondere wird auf die letzte der entwickelten Konstruktionen eingegangen. Die neugebaute RÖNTGEN-Röhre gestattet einen kontinuierlichen Betrieb bei Röhrenspannungen von 50 Volt und Röhrenstromstärke bis 10 mA. Eine weitere Herabsetzung der Röhrenspannung bei etwas verkleinerter Stromstärke ist wahrscheinlich möglich. Einige Beispiele der mit den beschriebenen Typen von RÖNTGEN-Röhren erzielten RÖNTGEN-Mikrogramme biologischer Strukturen werden angegeben und kurz erläutert.
Some quantitative data about the carbon-metabolism in Saccharomyces-cells of different ploidy were determined. The amount of carbon, necessary for the formation of a cell, proved to be proportional to the degree of ploidy of the cells. For the duplication of a diploid cell 6,7·10-11g glucose were used. In comparison with respiratory deficient cells the simultaneous utilization of fermentation and respiration metabolism in respiration sufficient cells leads to a decrease of the cell cycle duration, however, the energy needed for the formation of a cell is not decreased. The rate of cell multiplication has a maximum at about 30 °C for all classes of ploidy. Certain assumptions about the utilization of the carbon source were confirmed by experiments with 14C marked glucose.
Die Wirkungsweise des Protonen-Wendellinearbeschleunigers und sein prinzipieller Aufbau werden kurz beschrieben und Angaben über die erreichbare Parallelimpedanz gemacht. Es wird gezeigt, wie durch sektionsweisen Aufbau eine variable Endenergie erzielt und die Kühl- und Fokussierprobleme gelöst werden können. Zwei Konstruktionsbeispiele für kontinuierlichen und gepulsten Betrieb werden näher ausgeführt.
Physikalische und thermische Kontrastierung führt bei Fixierung in Glutaraldehyd und Einbettung in Vestopal bei Parenchymzellen der Leber zu weitgehend ähnlichen Kontrastunterschieden auch bei Mitochondrien und den Membranen des Retikulums. Beide Verfahren wirken also weitgehend unspezifisch. Von den chemischen Verfahren liefert Uranylacetat im Cytoplasma ähnliche Kontrastverhältnisse wie die beiden genannten Verfahren. Das spezifische Verhalten des Uranylacetats kann z. B. an der Kontrastierung des Chromatins demonstriert werden. Sie bleibt aus, wenn die färbbare Substanz auf der Wasseroberfläche des Messertroges herausgewaschen wurde. Bleicitrat-Kontrastierung hat hier im Gegensatz zu Uranylacetat eine spezifische Wirkung nur auf RNS-haltige Zellbestandteile.
In this paper an instability calculation is given for an axially symmetric gas distribution which has a differential rotation and in which a magnetic field is present. It is a generalization of similar calculations given by CHANDRASEKHAR and BEL and SCHATZMAN. The generalization becomes necessary for the study of problems of the formation of planetary systems, and star formation.
The instability conditions and the critical wave lengths are calculated for plane-wave-like disturbances. For disturbances running perpendicularly to the axis of rotation instability can occur only if the gas density exceeds a critical value which depends on the differential rotation at the considered distance only as long as pressure gradients and gradients of the magnetic field strength are negligible. If the gas density exceeds this critical value the shortest unstable wave length is proportional to the square root of vT2+vB2, where vT means the velocity of sound and vB the ALFVÉN-velocity.
For disturbances running parallel to the axis of rotation in addition to the JEANS instability a new type of instability occurs due to the simultaneous action of the magnetic field and the differential rotation; for rigid rotation this instability vanishes.
An elementary derivation of the optical potential for high energies is given. For the determination of the optical potential only the knowledge of the scattering amplitude for free nucleons and of the autocorrelation function for density fluctuations is necessary. The numerical calculation of the real- and imaginary part of the optical potential was performed using the Tabakin potential.
The often discussed question concerning the energy-momentum tensor of the electromagnetic field in matter can be answered using NOETHER'S theorem. The separation of the electromagnetic system from the mechanical system introduced here leads to the asymmetric expression for the energy momentum tensor. From covariance with respect to scale transformations one further concludes that the trace of the energy-momentum tensor vanishes.
We examine the possibility of reformulating quantum theory (QT) as a deterministic ensemble theory which (a) interprets observables as objective properties of physical systems and (b) coincides with QT in all quantitative statements. As will be demonstrated, such an Ensemble-Quantum-Theory (EQT) can only be constructed if (1) one accepts a modified observable-concept, and (2) as long as the theory of measurement is left out of account. A correct treatment of the measuring process is impossible within such an EQT. Consequently, there exist no Hidden-Variable Theories with the properties (a) and (b).
The potential energy surface has been calculated by two methods which are compared with respect to spontaneous fission. In the first one essentially the sum of the single particle energies is computed as was done in a previous paper3 while in the second one the Strutinsky technique of renormalizing to a liquid drop model has been applied. Also the half-lives for electron capture are investigated together with the predictions of the half-lives for spontaneous fission and α-decay. The results support the existence of superheavy nuclei in the regions around Z = 114 and Z = 164.
The meaning of a recently proposed formalism for quantization of interacting fields is discussed by studying the consequences of the time-dependent unitary transformation which is essential for this approach. It turns out that non-relativistic quantum electrodynamics in dipole approximation may serve as a useful, although rather singular, example for this method. In the relativistic case a different point of view is suggested in order to avoid inconsistent interpretation. It is further possible to give arguments for a reasonable choice of the unitary transformation concerned.
The nuclear charge form factgr from the high-energy elastic electron scattering on 6Li has been calculated from the modified independent-particle shell model (IPSM) wave function. The usual harmonic oscillator type IPSM wave function has been modified by the inclusion of a nucleon-nucleon correlation function which involves extra-core nucleons only. The technique is extremely simple and provides an excellent agreement with the experimental data.
Es wird das Mikrowellenspektrum von Fluorwasserstoffassoziaten im X-und K-Band bei -70 °C und 0,01 Torr gemessen und analysiert. Dazu wird ein erstelltes Frequenzprogramm für den asymmetrischen Kreisel verwendet, sowie ein Extrapolationsprogramm, das eine in der Literatur angegebene druck-und temperaturabhängige Verteilung der Fluorwasserstoffassoziate auf für Mikrowellenspektroskopie geeignete Drücke und Temperaturen umzurechnen erlaubt. Es zeigt sich, daß planare hexamere und heptamere Fluorwasserstoffassoziate vorliegen mit F-F-F-Winkeln von etwa 104° und H-F-Bindungslängen von 0,9997 Å bzw. 0,9640 Å. Die Längen der Wasserstoff brücken sind 1,4998 Å bzw. 1,6105 Å. Ein Vergleich der Bindungslängen zeigt, daß bei Anlagerung von H-F an (HF)6 eine Kontraktion der Fluorwasserstoffbindung um 3,5% und eine Dilatation der Wasserstoffbrückenbindung um 1% stattfindet. Dieses Ergebnis steht im Einklang mit der oben erwähnten Assoziatverteilung, die eine Minderung der Kettenstabilität beim Übergang von hexamerer zu heptamerer Kette erwarten läßt.
We investigate the possibility of selfconsistent solutions for antiferromagnetism in the Hubbard model in the decoupling of the Greens functions introduced by Hubbard in his first paper. On the base of this approximation Arai has calculated the band splitting for antiferromagnetism, but, as will be shown in this paper, Hubbard's approach fails to yield antiferromagnetism for nearest neighbour hopping in the same way as it does not yield ferromagnetism, and no selfconsistent solutions of the problem beyond the well known paramagnetic solution do exist.
The convergence of the eigenchannel (EK) and R-matrix (RM) theories - depending on their free parameters - is numerically investigated by comparing with a simple, analytically solvable model. The comparison shows that the results of the EK-theory are in general closer to the exact solution than those of the RM-theory. Especially in regions of sharp resonances the dependence of the expansion of the wave functions on the interaction radius ac and on the boundary condition Bc is very strong in the RM-theory and one needs very many levels to achieve good results.
A scattering theory for reactions with three-particle channels above the two-particle threshold is developed. The S-matrix-technique is used for the calculation of the extended S-matrix. Correlated two-particle wave functions in the exit channels are employed to describe the exact two-particle continuum. For the usual shell model only a few partial waves dominate. The cross section depends on the energy-distribution between the two outgoing nucleons. Numerical results are presented for the model (d, 2n)-reaction exciting 0+ -states in O16 without Coulomb-effects. The treatment is restricted to three (2p2h)-states with the particles in the (sd)-shell and holes in the p-shell.
The extension of the nuclear two-centre-oscillator to three and four centres is investigated. Some special symmetry-properties are required. In two cases an analytical solution of the Schrödinger equation is possible. A numerical procedure is developed which enables the diagonalization of the Hamiltonian in a non-orthogonal basis without applying Schmidt's method of orthonormalization. This is important for calculations of arbitrary two-dimensional arrangements of the centres.
Within the framework of the pairing plus quadrupole interaction model and by using the technique of quasi spin formalism it is possible to determine the collective potential and kinetic energy surfaces as analytic functions of the particle number in the limit that single particle splittings are neglected. Pushing the quasi spin model in an extended version up to the 4th order in perturbation theory the stiffness and mass parameters of harmonic and anharmonic terms for Dy, Er, Yb, and Hf-isotopes have been calculated. The theoretical particle dependence of collective quantities shows a good qualitative and even quantitative agreement with experimental data and former calculations.
A careful investigation of different corrections to binding energies of electrons in almost critical fields is performed. We investigate quantitatively the influence of the nuclear charge parameters, nuclear mass, degree of ionization on the value of the critical charge of the nucleus. Rather qualitative arguments are given to establish the contribution of the quantumelectrodynamic corrections, which are found to be small. Some phenomenological modifications of QED are quantitatively investigated and found to be of negligible influence on the value of the critical field. For heavy ion collisions with Z1+Z2>Zcr the critical separations between ions are given as results of precise solutions of the relativistic two coulomb center problem. Corrections due to electron-electron interaction are considered. We find (with present theoretical accuracy) Zcr=173±2, in the heavy ion collisions Rcr(U-U) = 34.7±2 fm and Rcr (U-Cf)=47.7±2 fm. We shortly consider the possibility of spontaneous muon production in muonic supercritical fields.
Introducing correlated continuum wave functions for the two- and re-particle-continuum a microscopic theory of nuclear reactions based on a method of Fano is developed. The S-matrix-elements are given by the matrix-elements between correlated continuum wave functions and bound state wave functions. The antisymmetrization of the continuum wave functions with more than one particle in the continuum is included. The theory can be straightforwardly applied on the n-nucleon-emission process following photo- and particle excitations.
A model for the quantum yield of the coloration caused by UV-light in spiropyran layers is described. This model allows to calculate the sensitivity of layers having different compositions. The mechanism concerning the stability of the coloration is essentially clarified. Calculations of the stability for layers of different compositions are possible by a model describing the mechanism approximately.
An improved two-center model has been used to describe the elastic scattering potentials for the collision of identical nuclei. The macroscopic-microscopic approach includes liquid drop (LD) deformation energies, shell corrections and pairing energy corrections. As basis for the microscopic part a two-center shell model has been used with a Hamiltonian including a Thomas-type spin-orbit potential and an l2 correction term. The model is applied to the sudden and adiabatic type of scattering process, including a compression energy term in the LD part for the former case. Results are given as potential energy surfaces for the adiabatic scattering process and potential energy curves for the sudden scattering process.
During collisions of heavy ions with heavy targets below the Coulomb barrier, adiabatic molecular orbitals are formed for the inner electrons. Deviations from adiabaticity lead to coupling between various states and can be treated by time-dependent perturbation theory. For high charges ( Z1+Z2 ≧ 60) the molecular electrons are highly relativistic. Therefore, the Dirac equation has to be used to obtain the energies and wave functions. The Dirac Hamiltonian is transformed into the intrinsic rotating coordinate system where prolate spheroidal coordinates are introduced. A set of basis functions is proposed which allows the evaluation of all matrix elements of the Dirac Hamiltonian analytically. The resulting matrix is diagonalized numerically. The finite nuclear charge distribution is also taken into account. Results are presented and discussed for various characteristic systems, e. g. Br-Br, Ni-Ni, I-I, Br-Zr, I-Au, U -U, etc.
Coupled channel calculations for Coulomb and nuclear excitation of the systems 136Xe-238U and 238U-238U have been performed using the rotation-vibration model. The impact parameter-, energy-and spin-dependence of the excitation probabilities are discussed for the ground state-, β-and γ-band up to Jπ = 36+. It is shown that the energy levels and quadrupole matrix elements are strongly influenced by the rotation-vibration interaction. Analytic expressions for the elastic and coupling potentials are presented.
Light-particle accompanied fission is expected to yield results from which one hopes to learn more about binary scission configurations. As a step in this direction, we present a model that allows the calculation of the probabilities with which a given three-particle setup follows from different binary configurations. First results show the workability of the model.
The temporal development of macroobservables is described within a correlation-functionformalism. The results are exact for a certain class of initial ensembles. The same problem is discussed with the help of the linear-response-formalism. The results agree under certain conditions which should be fulfilled for macroobservables.
For experiments on fission-fragment induced desorption the detection of significant correlations between desorbed ions has been reported [1]. In this paper the method for the detection and quantitative description of these correlations will be described. The statistics of the desorption-process leads to equations for mass-line intensities of ion spectra. Using a time-to-amplitude-converter for flight-time measurements these intensities depend on interdependences of different ions desorbed by the same fission-fragment. The equations allow the computation of correlationcoefficients whose interdependence with desorption probabilities of the respective ions can be shown in Venn-diagrams. Results are given and an interpretation is suggested for fission-fragment desorbed thiamine molecular and fragment ions.
The master operators B which cause the entropy production dH/dt = - k-1 dS/dt to become extremal for fixed statistical operators W are constructed and discussed. There are boundaries of the set B of master operators, B = {B | Σ B2vu = b} for which the problem is solvable yielding minimal entropy production, while no solution exists in the set B without any constraints. Operators with maximal entropy production must be extremal points of B.
Two equations for the macroscopic part W of the statistical operator are considered:
1. the master equation W = — MW, t
2. the exact equation W = — J K(t — r) W (r) dr.
It follows from the physical equivalence of the solutions together with a stability assumption and the assumption that there is a time τ* after which also the derivatives of the solutions are equivalent, that τ* is the life-time of the kernel K and that Conversely, the equivalence of the solutions follows from assumptions on the life-time of the kernel K together with a stability assumption and a smoothness assumption on the initial statistical operator W(0).
The reactions of diluted aqueous solutions of SO2 resp. HSO3-ions with MnO4-or Ce4+ ions in the pH range 1-4 produce chemiluminescence in the spectral region of 450-600 nm. Measurements of the time course of the light emission and their simulation on an analog computer led to a reaction scheme in which a recombination product of primarily formed HSO3 radicals -of a lifetime of about 1 second -appears as precursor of electronically excited SO2 molecules. The participation of singlet oxygen can be excluded because at least the reaction with Ce4+ ions proceeds also in the absence of oxygen.
We present a unified formulation of the interaction of electrons with the electromagnetic field in heavy ion collisions, based on quantized interacting fields. This reduces the effort in treating many-electron systems substantially, as compared with the usual S-matrix theory. Both formalisms are shown to be equivalent. The simplification achieved by our new approach is demonstrated in detail for the example of quasi-molecular radiation.
Ion formation from alkali halide solids caused by the irradiation of high power (some 108 W/ cm2) pulsed lasers is investigated by means of time-of-flight mass spectrometry (LAMMA®). It is shown that the ions are formed directly from the solid state, several uppermost atomic layers being involved; gas phase interactions are negligible. The ion formation rates, however, are in-compatible with the assumption of a quasiequilibrium phase transition, but should be explained in terms of non-adiabatic rate processes discussed in some detail. The light absorption of the transparent halide crystals is assumed to be initiated by multiphoton absorption - free electron production; the further energy transfer being maintained by rapid polaron-Joule-heating. The data are compatible with this model.
The anion transport protein of the human erythrocyte membrane, band 3, was solubilized and purified in solutions of the non-ionic detergent nonaethylene glycol lauryl ether and then reconstituted in spherical egg phosphatidylcholine bilayers as described earlier (U. Scheuring, K. Kollewe, W. Haase, and D. Schubert, J. Membrane Biol. 90, 123-135 (1986)). The resulting paucilamellar proteoliposom es of average diameter 70 nm were transformed into smaller vesicles by French press treatment and fractionated according to size by gel filtration. The smallest protein-containing liposomes obtained had diameters around 32 nm; still smaller vesicles were free of protein. All proteoliposome samples studied showed a rapid sulfate efflux which was sensitive to specific inhibitors of band 3-mediated anion exchange. In addition, the orientation of the transport protein in the vesicle membranes was found to be “right-side-out” in all samples. This suggests that the orientation of the protein in the vesicle membranes is dictated by the shape of the protein’s intramembrane domain and that this domain has the form of a truncated cone or pyramid.
Time-resolved Fourier transform infrared difference spectra of the phosphoenzyme conversion and Ca(2+) release reaction (Ca(2)E(1)-P --> E(2)-P) of the sarcoplasmic reticulum Ca(2+)-ATPase were recorded at pH 7 and 1 degrees C in H(2)O and (2)H(2)O. In the amide I spectral region, the spectra indicate backbone conformational changes preserving conformational changes of the preceding phosphorylation step. beta-sheet or turn structures (band at 1685 cm(-1)) and alpha-helical structures (band at 1653 cm(-1)) seem to be involved. Spectra of the model compound EDTA for Ca(2+) chelation indicate the assignment of bands at 1570, 1554, 1411 and 1399 cm(-1) to Ca(2+) chelating Asp and Glu carboxylate groups partially shielded from the aqueous environment. In addition, an E(2)-P band at 1638 cm(-1) has been tentatively assigned to a carboxylate group in a special environment. A Tyr residue seems to be involved in the reaction (band at 1517 cm(-1) in H(2)O and 1515 cm(-1) in (2)H(2)O). A band at 1192 cm(-1) was shown by isotopic replacement in the gamma-phosphate of ATP to originate from the E(2)-P phosphate group. This is a clear indication that the immediate environment of the phosphoenzyme phosphate group changes in the conversion reaction, altering phosphate geometry and/or electron distribution.
The effect of a single site mutation of Arg-54 to methionine in Paracoccus denitrificans cytochrome c oxidase was studied using a combination of optical spectroscopy, electrochemical and rapid kinetics techniques, and time-resolved measurements of electrical membrane potential. The mutation resulted in a blue-shift of the heme a alpha-band by 15 nm and partial occupation of the low-spin heme site by heme O. Additionally, there was a marked decrease in the midpoint potential of the low-spin heme, resulting in slow reduction of this heme species. A stopped-flow investigation of the reaction with ferrocytochrome c yielded a kinetic difference spectrum resembling that of heme a(3). This observation, and the absence of transient absorbance changes at the corresponding wavelength of the low-spin heme, suggests that, in the mutant enzyme, electron transfer from Cu(A) to the binuclear center may not occur via heme a but that instead direct electron transfer to the high-spin heme is the dominating process. This was supported by charge translocation measurements where Deltapsi generation was completely inhibited in the presence of KCN. Our results thus provide an example for how the interplay between protein and cofactors can modulate the functional properties of the enzyme complex.
We analyzed a eukaryotically encoded rubredoxin from the cryptomonad Guillardia theta and identified additional domains at the N- and C-termini in comparison to known prokaryotic paralogous molecules. The cryptophytic N-terminal extension was shown to be a transit peptide for intracellular targeting of the protein to the plastid, whereas a C-terminal domain represents a membrane anchor. Rubredoxin was identified in all tested phototrophic eukaryotes. Presumably facilitated by its C-terminal extension, nucleomorph-encoded rubredoxin (nmRub) is associated with the thylakoid membrane. Association with photosystem II (PSII) was demonstrated by co-localization of nmRub and PSII membrane particles and PSII core complexes and confirmed by comparative electron paramagnetic resonance measurements. The midpoint potential of nmRub was determined as +125 mV, which is the highest redox potential of all known rubredoxins. Therefore, nmRub provides a striking example of the ability of the protein environment to tune the redox potentials of metal sites, allowing for evolutionary adaption in specific electron transport systems, as for example that coupled to the PSII pathway.
We consider J/ψ production in heavy ion collisions at RHIC energies in the statistical coalescence model with exact (canonical ensemble) charm conservation. Charm quark–antiquark pairs are assumed to be created in primary hard parton collisions, but open and hidden charm particles are formed at the hadronization stage according to the laws of statistical mechanics. The dependence of the J/ψ production on both the number of nucleon participants and the collision energy is studied. The model predicts J/ψ suppression for low energies, whereas at the highest RHIC energy the model reveals J/ψ enhancement.
For statistical multifragmentation model the critical indices α′,β,γ′,δ are calculated as functions of the Fisher parameter τ. It is found that these indices have different values than in Fisher's droplet model. Some peculiarities of the scaling relations are discussed. The basic model predicts for the index τ a narrow range of values, 1.799<τ<1.846, which is consistent with two experiments on nuclear multifragmentation.
In high energy p(p)+p interactions the mean multiplicity and transverse mass spectra of neutral mesons from η to ϒ (m≅0.5–10 GeV/c2) and the transverse mass spectra of pions (mT> 1 GeV/c2) reveal a remarkable behaviour: they follow, over more than 10 orders of magnitude, the power-law function: Cm(T)−P. The parameters C and P are energy dependent, but similar for all mesons produced at the same collision energy. This scaling resembles that expected in the statistical description of hadron production: the parameter P plays the role of a temperature and the normalisation constant C is analogous to the system volume. The fundamental difference is, however, in the form of the distribution function. In order to reproduce the experimental results and preserve the basic structure of the statistical approach the Boltzmann factor e−E∗/T appearing in standard statistical mechanics has to be substituted by a power-law factor (E∗/Λ)−P.
The measured particle ratios in central heavy-ion collisions at RHIC-BNL are investigated within a chemical and thermal equilibrium chiral SU(3) σ–ω approach. The commonly adopted noninteracting gas calculations yield temperatures close to or above the critical temperature for the chiral phase transition, but without taking into account any interactions. Contrary, the chiral SU(3) model predicts temperature and density dependent effective hadron masses and effective chemical potentials in the medium and a transition to a chirally restored phase at high temperatures or chemical potentials. Three different parametrizations of the model, which show different types of phase transition behaviour, are investigated. We show that if a chiral phase transition occured in those collisions, “freezing” of the relative hadron abundances in the symmetric phase is excluded by the data. Therefore, either very rapid chemical equilibration must occur in the broken phase, or the measured hadron ratios are the outcome of the dynamical symmetry breaking. Furthermore, the extracted chemical freeze-out parameters differ considerably from those obtained in simple noninteracting gas calculations. In particular, the three models yield up to 35 MeV lower temperatures than the free gas approximation. The in-medium masses turn out to differ up to 150 MeV from their vacuum values.
Production of J/ψ mesons in heavy ion collisions is considered within the statistical coalescence model. The model is in agreement with the experimental data of the NA50 Collaboration for Pb+Pb collisions at 158 AGeV in a wide centrality range, including the so-called “anomalous” suppression domain. The model description of the J/ψ data requires, however, strong enhancement of the open charm production in central Pb+Pb collisions. This model prediction may be checked in the future SPS runs.
Possible hadronization of supercooled QGP, created in heavy ion collisions at RHIC and SPS, is discussed within a Bjorken hydrodynamic model. Such a hadronization is expected to be a very fast shock-like process, what, if hadronization coincides or shortly followed by freeze out, could explain a part of the HBT puzzle, i.e., the flash-like particle emission (Rout/Rside≈1). HBT data also show that the expansion time before freeze out is very short (∼6–10 fm/c). In this Letter we discuss the question of supercooled QGP and the timescale of the reaction.
String theory suggests the existence of a minimum length scale. An exciting quantum mechanical implication of this feature is a modification of the uncertainty principle. In contrast to the conventional approach, this generalised uncertainty principle does not allow to resolve space–time distances below the Planck length. In models with extra dimensions, which are also motivated by string theory, the Planck scale can be lowered to values accessible by ultra high energetic cosmic rays (UHECRs) and by future colliders, i.e., Mf≈ 1 TeV. It is demonstrated that in this novel scenario, short distance physics below 1/Mf is completely cloaked by the uncertainty principle. Therefore, Planckian effects could be the final physics discovery at future colliders and in UHECRs. As an application, we predict the modifications to the e+e−→f+f− cross-sections.
Recent calculations applying statistical mechanics indicate that in a setting with compactified large extra dimensions a black hole might evolve into a (quasi-)stable state with mass close to the new fundamental scale Mf. Black holes and therefore their relics might be produced at the LHC in the case of extra-dimensional topologies. In this energy regime, Hawking's evaporation scenario is modified due to energy conservation and quantum effects. We reanalyse the evaporation of small black holes including the quantisation of the emitted radiation due to the finite surface of the black hole. It is found that observable stable black hole relics with masses ∼1–3Mf would form which could be identified by a delayed single jet with a corresponding hard momentum kick to the relic and by ionisation, e.g., in a TPC.
We study properties of compact stars with the deconfinement phase transition in their interiors. The equation of state of cold baryon-rich matter is constructed by combining a relativistic mean-field model for the hadronic phase and the MIT Bag model for the deconfined phase. In a narrow parameter range two sequences of compact stars (twin stars), which differ by the size of the quark core, have been found. We demonstrate the possibility of a rapid transition between the twin stars with the energy release of about 1052 ergs. This transition should be accompanied by the prompt neutrino burst and the delayed gamma-ray burst.
We calculate the antibaryon-to-baryon ratios, p̄/p,Λ̄/Λ,Ξ/Ξ, and Ω/Ω for Au+Au collisions at RHIC (sNN=200 GeV). The effects of strong color fields associated with an enhanced strangeness and diquark production probability and with an effective decrease of formation times are investigated. Antibaryon-to-baryon ratios increase with the color field strength. The ratios also increase with the strangeness content |S|. The netbaryon number at midrapidity considerably increases with the color field strength while the netproton number remains roughly the same. This shows that the enhanced baryon transport involves a conversion into the hyperon sector (hyperonization) which can be observed in the (Λ−Λ̄)/(p−p̄) ratio.
We study the production of transversely polarized Λ hyperons in high-energy collisions of protons with large nuclei. The large gluon density of the target at saturation provides an intrinsic semi-hard scale which should naturally allow for a weak-coupling QCD description of the process in terms of a convolution of the quark distribution of the proton with the elementary quark–nucleus scattering cross section (resummed to all twists) and a fragmentation function. In this case of transversely polarized Λ production we employ a so-called polarizing fragmentation function, which is an odd function of the transverse momentum of the Λ relative to the fragmenting quark. Due to this kt-odd nature, the resulting Λ polarization is essentially proportional to the derivative of the quark–nucleus cross section with respect to transverse momentum, which peaks near the saturation momentum scale. Such processes might therefore provide generic signatures for high parton density effects and for the approach to the “black-body” (unitarity) limit of hadronic scattering.
We use a simple hard-core gas model to study the dynamics of small exploding systems. The system is initially prepared in a thermalized state in a spherical container and then allowed to expand freely into the vacuum. We follow the expansion dynamics by recording the coordinates and velocities of all particles until their last collision points (freeze-out). We have found that the entropy per particle calculated for the ensemble of freeze-out points is very close to the initial value. This is in apparent contradiction with the Joule experiment in which the entropy grows when the gas expands irreversibly into a larger volume.
Transverse activity of kaons and deconfinement phase transition in nucleus–nucleus collisions
(2003)
We found that the experimental results on transverse mass spectrum of kaons produced in central Pb+Pb (Au+Au) collisions show an anomalous dependence on the colliding energy. The inverse slope of the spectrum increases with the energy in the low (AGS) and high (RHIC) energy domains, whereas it remains constant in the intermediate (SPS) energy range. We argue that this anomaly is probably caused by the modification of the equation of state in the transition region between confined and deconfined matter. This observation may be considered as a new signal, in addition to the previously reported anomalies in the pion and strangeness production, of the onset of deconfinement located in the low SPS energy domain.
The proton-pumping NADH:ubiquinone oxidoreductase (complex I) couples the transfer of electrons from NADH to ubiquinone with the translocation of protons across the membrane. Electron transfer is accomplished by FMN and a series of iron-sulfur clusters. Its coupling with proton translocation is not yet understood. Here, we report that the redox reaction of the FeS cluster N2 located on subunit NuoB of the Escherichia coli complex I induces a protonation/deprotonation of tyrosine side chains. Electrochemically induced FT-IR difference spectra revealed characteristic tyrosine signals at 1,515 and 1,498 cm−1 for the protonated and deprotonated form, respectively. Mutants of three conserved tyrosines on NuoB were generated by complementing a chromosomal in-frame deletion strain with nuoB on a plasmid. Though the single mutations did not alter the electron transport activity of complex I, the EPR signal of cluster N2 was slightly shifted. The tyrosine signals detected by FT-IR spectroscopy were roughly halved in the mutants Y114C and Y139C while only minor changes were detected in the Y154H mutant. The enzymatic activity of the Y114C/Y139F double mutant was 80% reduced, and FT-IR difference spectra of the double mutant revealed a complete loss the modes characteristic for protonation reactions of tyrosines. Therefore, we propose that tyrosines 114 and 139 on NuoB were protonated upon reduction of cluster N2 and were thus involved in the proton-transfer reaction coupled with its redox reaction.
Modifications of the gyromagnetic moment of electrons and muons due to a minimal length scale combined with a modified fundamental scale Mf are explored. First-order deviations from the theoretical SM value for g−2 due to these string theory-motivated effects are derived. Constraints for the fundamental scale Mf are given.
The production of strange pentaquark states (e.g., Theta baryons and Ξ−− states) in hadronic interactions within a Gribov–Regge approach is explored. In this approach the Θ+(1540) and the Ξ are produced by disintegration of remnants formed by the exchange of pomerons between the two protons. We predict the rapidity and transverse momentum distributions as well as the 4π multiplicity of the Θ+, Ξ−−, Ξ−, Ξ0 and Ξ+ for s=17 GeV (SPS) and 200 GeV (RHIC). For both energies more than 10−3 Θ+ and more than 10−5 Ξ per pp event should be observed by the present experiments.
P-O bond destabilization accelerates phosphoenzyme hydrolysis of sarcoplasmic reticulum Ca2+-ATPase
(2004)
The phosphate group of the ADP-insensitive phosphoenzyme (E2-P) of sarcoplasmic reticulum Ca2+-ATPase (SERCA1a) was studied with infrared spectroscopy to understand the high hydrolysis rate of E2-P. By monitoring an autocatalyzed isotope exchange reaction, three stretching vibrations of the transiently bound phosphate group were selectively observed against a background of 50,000 protein vibrations. They were found at 1194, 1137, and 1115 cm–1. This information was evaluated using the bond valence model and empirical correlations. Compared with the model compound acetyl phosphate, structure and charge distribution of the E2-P aspartyl phosphate resemble somewhat the transition state in a dissociative phosphate transfer reaction; the aspartyl phosphate of E2-P has 0.02 Å shorter terminal P–O bonds and a 0.09 Å longer bridging P–O bond that is ∼20% weaker, the angle between the terminal P–O bonds is wider, and –0.2 formal charges are shifted from the phosphate group to the aspartyl moiety. The weaker bridging P–O bond of E2-P accounts for a 1011–1015-fold hydrolysis rate enhancement, implying that P–O bond destabilization facilitates phosphoenzyme hydrolysis. P–O bond destabilization is caused by a shift of noncovalent interactions from the phosphate oxygens to the aspartyl oxygens. We suggest that the relative positioning of Mg2+ and Lys684 between phosphate and aspartyl oxygens controls the hydrolysis rate of the ATPase phosphoenzymes and related phosphoproteins.
Phosphorylation of the sarcoplasmic reticulum Ca(2+)-ATPase (SERCA1a) was studied with time-resolved Fourier transform infrared spectroscopy. ATP and ATP analogs (ITP, 2'- and 3'-dATP) were used to study the effect of the adenine ring and the ribose hydroxyl groups on ATPase phosphorylation. All modifications of ATP altered conformational changes and phosphorylation kinetics. The differences compared with ATP increased in the following order: 3'-dATP > ITP > 2'-dATP. Enzyme phosphorylation with ITP results in larger absorbance changes in the amide I region, indicating larger conformational changes of the Ca(2+)-ATPase. The respective absorbance changes obtained with 3'-dATP are significantly different from the others with different band positions and amplitudes in the amide I region, indicating different conformational changes of the protein backbone. ATPase phosphorylation with 3'-dATP is also much ( approximately 30 times) slower than with ATP. Our results indicate that modifications to functional groups of ATP (the ribose 2'- and 3'-OH and the amino group in the adenine ring) affect gamma-phosphate transfer to the phosphorylation site of the Ca(2+)-ATPase by changing the extent of conformational change and the phosphorylation rate. ADP binding to the ADP-sensitive phosphoenzyme (Ca(2)E1P) stabilizes the closed conformation of Ca(2)E1P.
We point out that during the supernova II type explosion the thermodynamical conditions of stellar matter between the protoneutron star and the shock front correspond to the nuclear liquid–gas coexistence region, which can be investigated in nuclear multifragmentation reactions. We have demonstrated, that neutron-rich hot heavy nuclei can be produced in this region. The production of these nuclei may influence dynamics of the explosion and contribute to the synthesis of heavy elements.
We propose a method to experimentally study the equation of state of strongly interacting matter created at the early stage of nucleus–nucleus collisions. The method exploits the relation between relative entropy and energy fluctuations and equation of state. As a measurable quantity, the ratio of properly filtered multiplicity to energy fluctuations is proposed. Within a statistical approach to the early stage of nucleus–nucleus collisions, the fluctuation ratio manifests a non-monotonic collision energy dependence with a maximum in the domain where the onset of deconfinement occurs.
We suggest that the fluctuations of strange hadron multiplicity could be sensitive to the equation of state and microscopic structure of strongly interacting matter created at the early stage of high energy nucleus–nucleus collisions. They may serve as an important tool in the study of the deconfinement phase transition. We predict, within the statistical model of the early stage, that the ratio of properly filtered fluctuations of strange to non-strange hadron multiplicities should have a non-monotonic energy dependence with a minimum in the mixed phase region.
We perform a study of the possible existence of hybrid stars with color superconducting quark cores using a specific hadronic model in a combination with an NJL-type quark model. It is shown that the constituent mass of the non-strange quarks in vacuum is a very important parameter that controls the beginning of the hadron–quark phase transition. At relatively small values of the mass, the first quark phase that appears is the two-flavor color superconducting (2SC) phase which, at larger densities, is replaced by the color-flavor locked (CFL) phase. At large values of the mass, on the other hand, the phase transition goes from the hadronic phase directly into the CFL phase avoiding the 2SC phase. It appears, however, that the only stable hybrid stars obtained are those with the 2SC quark cores.