Wigner Functions in High Energy Physics

Recent developments are (meta)reviewed in the applications of Wigner functions to describe the observed single particle spectra and two-particle Bose-Einstein (or Hanbury Brown -- Twiss) correlations in high energy particle and nuclear physics, with examples from hadron-proton and Pb + Pb collisions at CERN SPS.Comment: 4 pages, invited talk at the Wigner Centennial Conference, Pecs, Hungary, July 200

Analytic calculation of Bose-Einstein correlations at LEP1 and LEP2

Theoretical results in the tau-model are discussed in the context of Bose-Einstein correlations in e+e- annihilations at LEP1 and LEP2 as well as that of relativistic heavy ion collisions at SPS and RHIC.Comment: 4 pages, invited talk at the XXXIIth Int. Symp. Multiparticle Dynamics, Alushta, Crimea, Ukrain

Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study

The unitarily extended Bialas-Bzdak model of elastic proton-proton scattering is applied, without modifications, to describe the differential cross-section of elastic proton-antiproton collisions in the TeV energy range, and to extrapolate these differential cross-sections to LHC energies. In this model-dependent study we find that the differential cross-sections of elastic proton-proton collision data at 2.76 and 7 TeV energies differ significantly from the differential cross-section of elastic proton-antiproton collisions extrapolated to these energies. The elastic proton-proton differential cross-sections, extrapolated to 1.96 TeV energy with the help of this extended Bialas-Bzdak model do not differ significantly from that of elastic proton-antiproton collisions, within the theoretical errors of the extrapolation. Taken together these results provide a model-dependent, but statistically significant evidence for a crossing-odd component of the elastic scattering amplitude at the at least 7.08 sigma level. From the reconstructed Odderon and Pomeron amplitudes, we determine the $\sqrt{s}$ dependence of the corresponding total and differential cross-sections.Comment: Final version, typos fixed, accepted for a publication in EPJ C, including 3 tables, 32 figures, 61 pages. Model dependent Odderon significance stands at 7.08 sigma. Appendix C and D added to discuss the s-dependent Pomeron and Odderon amplitudes and cross-sections and to cross-check possible non-linear evolution of the model parameters at ISR energie