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Rapidity spectra analysis in terms of non-extensive statistic approach

✍ Scribed by M. Rybczyński; Z. Wlodarczyk; G. Wilk

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 356 KB
Volume: 122
Category: Article
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(03)80410-3

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✦ Synopsis

We provide the description of rapidity spectra of particles produced in pjj collisions using the anomalous diffusion approach to account for their non-equilibrium character.

In particular, we exhibit connections between multiproduction processes and anomalous diffusion described through the nonlinear Focker-Planck equation with a nonlinearity given by the nonextensivity parameter q describing the underlying Tsallis q-statistics. We demonstrate how this leads to the Feynman scaling violation in these collisions. The q parameter obtained in this way turns out to be closely connected to the parameter l/k converting the original poissonian multiplicity distribution to its observed Negative Binomial form. The inelasticity of the reaction has also been calculated and found to slightly decrease with increasing reaction energy.

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