Modified MIT bag Models -- part I: Thermodynamic consistency, stability windows and symmetry group

TL;DR

This paper explores various modifications of the MIT bag model, focusing on thermodynamic consistency, stability windows, and symmetry groups, including a new model inspired by Boguta-Bodmer to control high-density repulsion.

Contribution

It introduces a novel model inspired by Boguta-Bodmer, incorporates vector interactions with symmetry group theory, and analyzes stability and thermodynamic properties of different MIT bag model variants.

Findings

Identified stability windows consistent with Bodmer-Witten conjecture

Demonstrated thermodynamic consistency of the models

Proposed a new model controlling high-density repulsion

Abstract

In this work we study different variations of the MIT bag model. We start with the so called non-ideal bag model and discuss it in detail. Then we implement a vector interaction in the MIT bag model that simulates a meson exchange interaction and fix the quark-meson coupling constants via symmetry group theory. At the end we propose an original model, inspired by the Boguta-Bodmer models, which allows us to control the repulsion interaction at high densities. For each version of the model we obtain a stability window as predicted by the Bodmer-Witten conjecture and discuss its thermodynamic consistency.