Pion Production Via Resonance Decay in a Non-extensive Quark-Gluon Medium with Non-additive Energy Composition Rule

TL;DR

This paper investigates resonance decay into pions within a non-extensive quark-gluon medium, demonstrating that the resulting pion spectra follow the Tsallis distribution, consistent with experimental observations.

Contribution

It shows that multi-particle interactions and energy constraints in a non-extensive medium naturally produce Tsallis-distributed particle spectra.

Findings

Pion spectra follow the Tsallis distribution in the model.

Energy constraints lead to Tsallis distributions for single particles.

Results align with experimental measurements.

Abstract

Resonance production and decay into pion pairs is simulated in a non-extensive quark matter with multi-particle interactions. Final state pion spectra are found to take the form of the Tsallis distribution, in accordance with measurements. It has also been shown that, if a large number of particles with these multi-particle interactions are constrained to a constant energy hyper-surface in phase space, the one-particle distribution is the Tsallis distribution.