Examining nonextensive statistics in relativistic heavy-ion collisions

TL;DR

This paper investigates the applicability of nonextensive q-statistics to relativistic heavy-ion collision data, finding that the current models cannot reproduce the observed rapidity distributions, thus challenging the concept's validity.

Contribution

The study provides detailed numerical analysis showing the limitations of nonextensive q-statistics in modeling relativistic heavy-ion collision data.

Findings

Nonextensive q-statistics cannot fit the rapidity distribution data.

The nonextensivity parameter q must be outside the range 1 to 1.5.

The results question the widespread use of nonextensive statistics in this field.

Abstract

We show in detailed numerical solutions of the nonlinear Fokker-Planck equation (FPE) which has been associated with nonextensive q-statistics that the available data on rapidity distributions for stopping in relativistic heavy-ion collisions cannot be reproduced with any permitted value of the nonextensivity parameter (1 < q < 1.5). This casts doubt on the nonextensivity concept that is widely used in relativistic heavy-ion physics.