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Dielectron mass spectra are examined for various nuclear reactions recently measured by the DLS collaboration. A detailed description is given of all dilepton channels included in the transport model UrQMD 1.0, i.e. Dalitz decays of π, η, ω, ή mesons and of the (1232) resonance, direct decays of vector mesons and pn bremsstrahlung. The microscopic calculations reproduce data for light systems fairly well, but tend to underestimate the data in pp at high energies and in pd at low energies. These conventional sources, however, cannot explain the recently reported enhancement for nucleus-nucleus collisions in the mass region 0.15GeV ≤ Me+e- ≤ 0.6GeV. Chiral scaling and ω meson broadening in the medium are investigated as a source of this mass excess. They also cannot explain the recent DLS data.
The transverse momentum distribution of prompt photons coming from the very early phase of ultrarelativistic heavy ion collisions for the RHIC and LHC energies is calculated by means of perturbative QCD. We calculate the single photon cross section (A + B -> gamma + X) by taking into account the partonic sub processes q + q -> gamma + g and q + g -> gamma + q as well as the Bremsstrahlung corrections to those processes. We choose a lower momentum cut-off k0 = 2 GeV separating the soft physics from perturbative QCD. We compare the results for those primary collisions with the photons produced in reactions of the thermalized secondary particles, which are calculated within scaling hydrodynamics. The QCD processes are taken in leading order. Nuclear shadowing corrections, which alter the involved nuclear structure functions are explicitly taken into account and compared to unshadowed results. Employing the GRV parton distribution parametrizations we find that at RHIC prompt QCD-photons dominate over the thermal radiation down to transverse momenta kT ≈ 2 GeV. At LHC, however, thermal radiation from the QGP dominates for photon transverse momenta kT ≤ 5 GeV, if nuclear shadowing effects on prompt photon production are taken into account.
Direct photon production in central Pb+Pb collisions at CERN-SPS energy is calculated within the relativistic microscopic transport model UrQMD, and within distinctly di erent versions of relativistic hydrodynamics. We find that in UrQMD the local momentum distributions of the secondaries are strongly elongated along the beam axis initially. Therefore, the preequilibrium contribution dominates the photon spectrum at transverse momenta above H 1.5 GeV. The hydrodynamics prediction of a strong correlation between the temperature and radial expansion velocities on the one hand and the slope of the transverse momentum distribution of direct photons on the other hand thus is not recovered in UrQMD. The rapidity distribution of direct photons in UrQMD reveals that the initial conditions for the longitudinal expansion of the photon source (the meson fluid ) resemble rather boostinvariance than Landau-like flow.
A self-consistent relativistic Boltzmann-Uehling-Uhlenbeck equation for the N (1440) resonance is developed based on an effective Lagrangian of baryons interacting through mesons. The equation is consistent with that of nucleon s and delta s which we derived before. Thus, we obtain a set of coupled equations for the N, Delta and N (1440) distribution functions. All the N (1440)-relevant in-medium two-body scattering cross sections within the N, Delta and N (1440) system are derived from the same effective Lagrangian in addition to the mean field and presented analytically. Medium effects on the cross sections are discussed.
Here I analyse 23 populations of D. galeata, a large-lake cladoceran, distributed mainly across the Palaearctic. I detected high levels of clonal diversity and population differentiation using variation at six microsatellite loci across Europe. Most populations were characterised by deviations from H-W equilibrium and significant heterozygote deficiencies. Observed heterozygote deficiencies might be a consequence of simultaneous hatching of individuals produced during different times of the year or of the coexistence of ecologically and genetically differentiated subpopulations. A significant isolation by distance was only found over large geographic distances (> 700 km). This pattern is mainly due to the high genetic differentiation among neighbouring populations. My results suggest that historic populations of Daphnia were once interconnected by gene flow but current populations are now largely isolated. Thus local ecological conditions which determine the level of biparental sexual reproduction and local adaptation are the main factors mediating population structure of D. galeata. The population genetic structure and diversity in D. galeata was investigated at a European scale using six microsatellite loci and 12S rDNA sequence data to infer and compare historical and contemporary patterns of gene flow. D. galeata has the potential for long-distance dispersal via ephippial resting eggs by wind and other dispersing vectors (waterfowl), but shows in general strong population differentiation even among neighbouring populations. A total of 427 individuals were analysed for microsatellite and 85 individuals for mitochondrial (mtDNA) sequence data from 12 populations across Europe. I detected genetic differentiation among populations across Europe and locations within sampling regions for both genetic marker systems (average values: mtDNA FST = 0.574; microsatellite FST = 0.389), resulting in a lack of isolation by distance. Furthermore, several microsatellite alleles and one haplotype were shared across populations. Partitioning of molecular variance was inconsistant for both marker systems. Microsatellite variation was higher within than among populations, whereas mtDNA data yielded an inverse pattern. Relative high levels of nuclear DNA diversity were found across Europe. The amount of mitochondrial diversity was low in Spain, Hungary and Denmark. Gene flow analysis at a European scale did not reveal typical pattern of population recolonization in the light of postglacial colonization hypotheses. Populations, which recently experienced an expansion or population-bottleneck were observed both in middle and northern Europe. Since these populations revealed high genetic diversity in both marker systems, I suggest these areas to represent postglacial zones of secondary contact among divergent lineages of D. galeata. In order to reveal the relationship between population genetic structure of D. galeata and the relative contribution of environmental factors, I used a statistical framework based on canonical correspondence analysis. Although I detected no single ecological gradient mediating the genetic differentiation in either lake regions, it is noteworthy that the same ecological factors were significantly correlated with intra- and interspecific genetic variation of D. galeata. For example, I found a relationship between genetic variation of D. galeata and differentiation with higher and lower trophic levels (phytoplankton, submerged macrophytes and fish) and a relationship between clonal variation and species diversity within Cladocera. Variance partitioning had only a minor contribution of each environmental category (abiotic, biomass/density and diversity) to genetic diversity of D. galeata, while the largest proportion of variation was explained by shared components. My work illustrates the important role of ecological differentiation and adaptation in structuring genetic variation, and it highlights the need for approaches incorporating a landscape context for population divergence.
We derive the self-consistent relativistic quantum transport equation for the pion distribution function based on an effective Lagrangian of the QHD-II model. The closed time-path Green's function technique, the semi-classical, quasi-particle and Born approximation are employed in the derivation. Both the mean field and collision term are derived from the same Lagrangian and presented analytically. The dynamical equation for the pions is consistent with that for the nucleons and deltas which we developed before. Thus, we obtain a self-consistent relativistic transport model which describes the hadronic matter with N, Delta and pi degrees of freedom simultaneously. Within this approach, we investigate the medium effects on the pion dispersion relation as well as the pion absorption and pion production channels in cold nuclear matter. In contrast to the results of the non-relativistic model, the pion dispersion relation becomes harder at low momenta and softer at high momenta as compared to the free one. The theoretically predicted free pi N to Delta cross section is in agreement with the experimental data. Medium effects on the pi N to Delta cross section and momentum-dependent Delta-decay width are shown to be substantial.
Relativistic quantum transport theory of hadronic matter: the coupled nucleon, delta and pion system
(1998)
We derive the relativistic quantum transport equation for the pion distribution function based on an effective Lagrangian of the QHD-II model. The closed time-path Green s function technique, the semi-classical, quasiparticle and Born approximation are employed in the derivation. Both the mean field and collision term are derived from the same Lagrangian and presented analytically. The dynamical equation for the pions is consistent with that for the nucleons and deltas which we developed before. Thus, we obtain a relativistic transport model which describes the hadronic matter with N,Delta and pi degrees of freedom simultaneously. Within this approach, we investigate the medium e ects on the pion dispersion relation as well as the pion absorption and pion production channels in cold nuclear matter. In contrast to the results of the non-relativistic model, the pion dispersion relation becomes harder at low momenta and softer at high momenta as compared to the free one, which is mainly caused by the relativistic kinetics. The theoretically predicted free pi*N -> Delta cross section is in agreement with the experimental data. Medium e ects on the pi*N -> Delta cross section and momentum-dependent Delta-decay width are shown to be substantial. PACS number(s): 24.10.Cn; 13.75.Cs; 21.65.+f; 25.70.-z
The hard contributions to the heavy quarkonium-nucleon cross sections are calculated based on the QCD factorization theorem and the nonrelativistic quarkonium model. We evaluate the nonperturbative part of these cross sections which dominates at psNN 20 GeV at the Cern Super Proton Synchrotron (SPS) and becomes a correction at psNN 6 TeV at the CERN Large Hadron Collider (LHC). J/psi production at the CERN SPS is well described by hard QCD, when the larger absorption cross sections of the states predicted by QCD are taken into account. We predict an A-dependent polarization of the states. The expansion of small wave packets is discussed.