# Proton Internal Pressure in $pp$ and $\bar{p}p$ Elastic Scattering

## TL;DR

This paper models proton internal pressure in proton-proton and antiproton-proton elastic scattering using a damped confinement potential, predicting phase transition effects and pressure inversion at specific energies.

## Contribution

It introduces a novel model incorporating phase transition effects to describe proton internal pressure in elastic scattering.

## Key findings

- Predicts pressure inversion depending on energy
- Aligns with recent pressure measurements below phase transition
- Foresees negative pressure regions at higher energies

## Abstract

In this work, one proposes the use of a damped confinement potential to mimic the proton internal energy. The internal pressure is calculated taking into account the occurrence of a phase transition in the $pp$ and $\bar{p}p$ total cross section. The model predicts the inversion of the positive and negative pressure regions depending on the squared energy $s_0$, where the total cross section achieves its minimum value. Considering energies below the phase transition the expected results are in accordance with the recent proton internal pressure measurement. For energies above $s_0$, the model predicts a negative pressure region near the center of the hadron surrounded by a positive pressure region.