Pressure Distribution Inside Nucleons in a Tsallis-MIT Bag Model.

Area of Science:

• Nuclear Physics
• Quantum Chromodynamics
• Statistical Mechanics

Background:

• The MIT bag model is a fundamental tool for understanding nucleon structure.
• Estimating internal hadron pressure is crucial for nuclear physics.
• Non-extensive statistics offer new ways to model complex systems.

Purpose of the Study:

• To develop a phenomenological framework for estimating internal hadron pressure.
• To implement non-extensive Tsallis statistics within the MIT bag model.
• To provide an alternative interpretation of bag pressure.

Main Methods:

• Utilized the MIT bag model as a basis.
• Implemented non-extensive Tsallis statistics for a two-component system.
• Described strong interaction correlations using the q-Tsallis parameter.

Main Results:

• The model successfully estimates hadron pressure.
• Results show agreement with Lattice QCD calculations.
• Pressure comparisons were made with deep virtual Compton scattering and gravitational form factor data.

Conclusions:

• The extended bag model offers an alternative interpretation of bag pressure via the q-Tsallis parameter.
• The MIT bag model can be formulated without the explicit bag pressure parameter.
• This framework provides a novel approach to hadron structure studies.