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Quasi-Monte-Carlo-Verfahren zur Bewertung von Finanzderivaten, BacDas Gebiet der Optionsbewertung ist durch die Entwicklungen zu neuen und immer komplexer werdenden Optionstypen und durch Verbesserungen im Bereich der Aktienkurs-Modelle geprägt. Diese Entwicklung und die gestiegene Leistungsfähigkeit der Parallelrechner haben das Interesse an den flexiblen Quasi-Monte-Carlo-Verfahren neu geweckt.
Die experimentellen Untersuchungen bestätigen die Überlegenheit des Quasi-Monte-Carlo-Verfahren gegenüber den klassische Monte-Carlo-Verfahren in Bezug auf niedrigdimensionale Optionstypen. Dieser Überlegenheit nimmt aber mit zunehmender Dimension ab, was eine Nachteil für das Quasi-Monte-Carlo Verfahren darstellt. Zur Verbesserung des Verfahrens gibt das Dimensions-Reduktions-Prinzip (effective dimension) und weitere Niederdiskrepanz-Folgen, wie Niederreiter-Folgen, Lattice-Regeln, usw. Weitere Verbesserungsmöglichkeiten könnten auch durch Wahl von anderen Diskretisierungsverfahren mit höherer starker Ordnung, wie z.B dem Milstein-Verfahren, erreicht werden. Mit dem Quasi-Monte-Carlo-Verfahren lässen sich auch komplizierte Optionen bewerten,
wie z.B. Bermuda-Optionen, Barrier-Optionen, Cap-Optionen, Shout-Optionen, Lokkback-Optionen, Multi-Asset-Optionen, Outperformance-Optionen, und auch mit weiteren Bewertungs-Modellen kombinieren, wie z.B. dem Black-Scholes-Modell mit variabler Verzinsung, Black-Scholes-Modell mit zeitabhängiger Volatilität, Heston-Modell für stochastische Volatilität, Merton-Sprung-Diffusion-Modell und dem Libor-Markt Modell für Zinsderivate, auf die ich in dieser Bachelorarbeit nicht mehr eingehen werde, mit denen ich mich jedoch in der Masterarbeit genauer beschäftigen werde.
A new planthopper genus, Aodingus Chen & Li gen. nov. and three new species (A. hainanensis Chen & Li gen. et sp. nov., A. obscurus Chen & Li gen. et sp. nov. and A. cuongi Chen & Li gen. et sp. nov.) are described from China and Vietnam. The new genus is superficially similar to Procidelphax Bartlett, 2009 in general appearance in that the body is strongly dorsoventrally flattened. Distinctive features of the new taxon include broadly compressed body with vertex broad, apical margin broadly rounded, middle part concave, median and submedian carinae absent, frons broad and large, wider at base than at apex, forewing broad and long, aedeagus tubular, curved ventrally. A diagnosis for all species, illustrations and an identification key of new genus are provided. A key to the Chinese genera of Tropidocephalini is also provided.
Transverse momentum spectra of π±, K± and p(p¯) up to pT = 20 GeV/c at mid-rapidity in pp, peripheral (60–80%) and central (0–5%) Pb–Pb collisions at √sNN = 2.76 TeV have been measured using the ALICE detector at the Large Hadron Collider. The proton-to-pion and the kaon-to-pion ratios both show a distinct peak at pT ≈ 3 GeV/c in central Pb–Pb collisions. Below the peak, pT < 3 GeV/c, both ratios are in good agreement with hydrodynamical calculations, suggesting that the peak itself is dominantly the result of radial flow rather than anomalous hadronization processes. For pT > 10 GeV/c particle ratios in pp and Pb–Pb collisions are in agreement and the nuclear modification factors for π±, K± and p(p¯) indicate that, within the systematic and statistical uncertainties, the suppression is the same. This suggests that the chemical composition of leading particles from jets in the medium is similar to that of vacuum jets.
The planthopper genus Arcofaciella Fennah, 1956 (Hemiptera: Fulgoromorpha: Delphacidae) is reviewed. Four species are recognized, of which A. obflexa Guo & Liang, 2005 and A. verrucosa Fennah, 1956 are redescribed, and one new species, A. indiana sp. nov., is described. Habitus photos for adults and illustrations of male genitalia (excluding A. penangensis (Muir, 1919)) are given. A key for identifying the species of Arcofaciella is also provided.
Freeze-out radii extracted from three-pion cumulants in pp, p–Pb and Pb–Pb collisions at the LHC
(2014)
In high-energy collisions, the spatio-temporal size of the particle production region can be measured using the Bose–Einstein correlations of identical bosons at low relative momentum. The source radii are typically extracted using two-pion correlations, and characterize the system at the last stage of interaction, called kinetic freeze-out. In low-multiplicity collisions, unlike in high-multiplicity collisions, two-pion correlations are substantially altered by background correlations, e.g. mini-jets. Such correlations can be suppressed using three-pion cumulant correlations. We present the first measurements of the size of the system at freeze-out extracted from three-pion cumulant correlations in pp, p–Pb and Pb–Pb collisions at the LHC with ALICE. At similar multiplicity, the invariant radii extracted in p–Pb collisions are found to be 5–15% larger than those in pp, while those in Pb–Pb are 35–55% larger than those in p–Pb. Our measurements disfavor models which incorporate substantially stronger collective expansion in p–Pb as compared to pp collisions at similar multiplicity.
Three new species of the bamboo-feeding genus Bambusiphaga Huang & Ding, 1979, B. parvula sp. nov., B. angulosa sp. nov., and B. nigrigena sp. nov., are described and illustrated from China. A key to species of the genus is provided. Habitus photos for adults and illustrations of male genitalia are also given.
Transverse momentum spectra of π±, K± and p(p¯) up to pT = 20 GeV/c at mid-rapidity in pp and Pb-Pb collisions at sNN−−−√= 2.76 TeV have been measured using the ALICE detector at the Large Hadron Collider. The proton-to-pion and the kaon-to-pion ratios both show a distinct peak at pT≈3GeV/c in central Pb-Pb collisions. Below the peak, pT < 3 GeV/c, both ratios are in good agreement with hydrodynamical calculations, suggesting that the peak itself is dominantly the result of radial flow rather than anomalous hadronization processes. For pT > 10 GeV/c particle ratios in pp and Pb-Pb collisions are in agreement and the nuclear modification factors for π±, K± and p(p¯) indicate that, within the systematic and statistical uncertainties, the suppression is the same. This suggests that the chemical composition of leading particles from jets in the medium is similar to that of vacuum jets.
The pT-differential production cross section of electrons from semileptonic decays of heavy-flavor hadrons has been measured at mid-rapidity in proton-proton collisions at s√=2.76 TeV in the transverse momentum range 0.5 < pT < 12 GeV/c with the ALICE detector at the LHC. The analysis was performed using minimum bias events and events triggered by the electromagnetic calorimeter. Predictions from perturbative QCD calculations agree with the data within the theoretical and experimental uncertainties.
The pT-differential production cross section of electrons from semileptonic decays of heavy-flavor hadrons has been measured at mid-rapidity in proton-proton collisions at s√=2.76 TeV in the transverse momentum range 0.5 < pT < 12 GeV/c with the ALICE detector at the LHC. The analysis was performed using minimum bias events and events triggered by the electromagnetic calorimeter. Predictions from perturbative QCD calculations agree with the data within the theoretical and experimental uncertainties.
Mapping cortical brain asymmetry in 17,141 healthy individuals worldwide via the ENIGMA Consortium
(2017)
A central motivation for the development of x-ray free-electron lasers has been the prospect of time-resolved single-molecule imaging with atomic resolution. Here, we show that x-ray photoelectron diffraction—where a photoelectron emitted after x-ray absorption illuminates the molecular structure from within—can be used to image the increase of the internuclear distance during the x-ray-induced fragmentation of an O2 molecule. By measuring the molecular-frame photoelectron emission patterns for a two-photon sequential K-shell ionization in coincidence with the fragment ions, and by sorting the data as a function of the measured kinetic energy release, we can resolve the elongation of the molecular bond by approximately 1.2 a.u. within the duration of the x-ray pulse. The experiment paves the road toward time-resolved pump-probe photoelectron diffraction imaging at high-repetition-rate x-ray free-electron lasers.
The antiferromagnet and semimetal EuCd2As2 has recently attracted a lot of attention due to a wealth of topological phases arising from the interplay of topology and magnetism. In particular, the presence of a single pair of Weyl points is predicted for a ferromagnetic configuration of Eu spins along the c-axis in EuCd2As2. In the search for such phases, we investigate here the effects of hydrostatic pressure in EuCd2As2. For that, we present specific heat, transport and μSR measurements under hydrostatic pressure up to ∼2.5GPa, combined with {\it ab initio} density functional theory (DFT) calculations. Experimentally, we establish that the ground state of EuCd2As2 changes from in-plane antiferromagnetic (AFMab) to ferromagnetic at a critical pressure of ≈2\,GPa, which is likely characterized by the moments dominantly lying within the ab plane (FMab). The AFMab-FMab transition at such a relatively low pressure is supported by our DFT calculations. Furthermore, our experimental and theoretical results indicate that EuCd2As2 moves closer to the sought-for FMc state (moments ∥ c) with increasing pressure further. We predict that a pressure of ≈\,23\,GPa will stabilize the FMc state, if Eu remains in a 2+ valence state. Thus, our work establishes hydrostatic pressure as a key tuning parameter that (i) allows for a continuous tuning between magnetic ground states in a single sample of EuCd2As2 and (ii) enables the exploration of the interplay between magnetism and topology and thereby motivates a series of future experiments on this magnetic Weyl semimetal.
The antiferromagnet and semimetal EuCd2As2 has recently attracted a lot of attention due to a wealth of topological phases arising from the interplay of topology and magnetism. In particular, the presence of a single pair of Weyl points is predicted for a ferromagnetic configuration of Eu spins along the c-axis in EuCd2As2. In the search for such phases, we investigate here the effects of hydrostatic pressure in EuCd2As2. For that, we present specific heat, transport and μSR measurements under hydrostatic pressure up to ∼2.5GPa, combined with {\it ab initio} density functional theory (DFT) calculations. Experimentally, we establish that the ground state of EuCd2As2 changes from in-plane antiferromagnetic (AFMab) to ferromagnetic at a critical pressure of ≈2\,GPa, which is likely characterized by the moments dominantly lying within the ab plane (FMab). The AFMab-FMab transition at such a relatively low pressure is supported by our DFT calculations. Furthermore, our experimental and theoretical results indicate that EuCd2As2 moves closer to the sought-for FMc state (moments ∥ c) with increasing pressure further. We predict that a pressure of ≈\,23\,GPa will stabilize the FMc state, if Eu remains in a 2+ valence state. Thus, our work establishes hydrostatic pressure as a key tuning parameter that (i) allows for a continuous tuning between magnetic ground states in a single sample of EuCd2As2 and (ii) enables the exploration of the interplay between magnetism and topology and thereby motivates a series of future experiments on this magnetic Weyl semimetal.