2002/06/20 by M. Rybczyński, M. Rybczynski, G. Wilk +2 · 3 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Financial Risk and Volatility Modeling #Statistical Mechanics and Entropy #astro-ph #cond-mat #hep-ph #nucl-th
paper · pdf · doi:10.1016/s0920-5632(03)80410-3
published as Nucl.Phys.Proc.Suppl. 122 (2003) 325-328 · 4 pages, 4 figures, Presented at XII International Symposium on Very High Energy Cosmic Ray Interactions, CERN, Switzerland, 15-20 July 2002
arxiv created 2002/06/20 · openalex publication_date 2003/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide description of rapidity spectra of particles produced in p-anti-p collisions using anomalous diffusion approach to account for their non-equilibrium character. In particular, we exhibit connection between multiproduction processes and anomalous diffusion described through the nonlinear Focker-Planck equation with nonlinearity given by the nonextensivity parameter q describing the underlying Tsallis q-statistics and demonstrate how it leads to the Feynman scaling violation in these collisions. The q parameter obtained this way turns out to be closely connected to parameter 1/k converting the original poissonian multiplicity distribution to its observed Negative Binomial form. The inelasticity of reaction has been also calculated and found to slightly decrease with the increasing energy of reaction. Keywords: inelasticity, rapidity spectra, nonextensivity