The effects of the Tsallis entropy in the proton internal pressure

Abstract

In this paper, one discusses the effects of 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 [Formula: see text] 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 [Formula: see text]. The hollowness effect is also discussed in terms of the results obtained and the proposed analogy.