The Effects of the Tsallis Entropy in the Proton Internal Pressure

TL;DR

This paper explores how Tsallis entropy influences the internal pressure distribution of protons, linking thermodynamic properties to high-energy scattering phenomena and the quark-gluon plasma transition.

Contribution

It introduces a novel approach connecting Tsallis entropy with proton pressure distribution and thermal evolution, including the analogy with scattering cross sections and the hollowness effect.

Findings

Identification of positive and negative energy regions in proton pressure

Correlation between pressure distribution and scattering phenomena

Insights into proton thermal evolution up to quark-gluon plasma

Abstract

In this paper, one discusses the effects of the Tsallis entropy on the radial pressure distribution in the proton. Using a damped confinement potential the pressure distribution is obtained from the Tsallis entropy approach, being the entropic-index $\omega$ connected with the proton temperature concerning some transition temperature. Then, the approach allows the study of the proton thermal evolution up to the Quark-Gluon Plasma regime. The von Laue stability condition, arising from the pressure distribution results in positive and negative energy regions. An analogy between the results for the radial pressure distribution and the proton-proton and the antiproton-proton total cross section is performed. The negative energy region is identified with the odderon exchange while the positive represents the pomeron exchange dominance above some transition energy $\sqrt{s_c}$. The hollowness effect is also discussed in terms of the results obtained and the proposed analogy.