Non-extensive statistical effects in high-energy collisions

TL;DR

This paper explores how non-extensive Tsallis statistics influence observable phenomena in high-energy heavy-ion collisions, including particle spectra and phase transition conditions, highlighting the importance of small deviations from standard statistics.

Contribution

It provides a phenomenological analysis of non-extensive effects on collision observables and the nuclear equation of state, including phase transition critical densities.

Findings

Non-extensive effects significantly impact rapidity spectra and transverse momentum distributions.

Small deviations from extensive statistics are relevant at intermediate and high energies.

The study links non-extensive statistics to phase transition conditions in nuclear matter.

Abstract

Following the basic prescriptions of the relativistic Tsallis' non-extensive thermostatistics, we investigate from a phenomenological point of view the relevance of non-extensive statistical effects on relativistic heavy-ion collisions observable, such as rapidity spectra of net proton production, transverse momentum distributions and transverse momentum fluctuations. Moreover, we study the nuclear and the subnuclear equation of state, investigating the critical densities of a phase transition to a hadron-quark-gluon mixed phase by requiring the Gibbs conditions on the global conservation of the electric and the baryon charges. The relevance of small deviations from the standard extensive statistics is studied in the context of intermediate and high energy heavy-ion collisions.