Exact and Efficient Numerical approaches to MIT Bag Model

TL;DR

This paper explores precise numerical methods, including exact and boundary value problem approaches, for calculating eigen-functions and energy levels in the MIT Bag Model, achieving high accuracy in modeling bound quarks in Hadrons.

Contribution

It introduces and compares exact and boundary value problem numerical methods for the MIT Bag Model, demonstrating their effectiveness and precision in eigen-function and energy level calculations.

Findings

BVP approach matches exact method up to 10 decimal places

Both methods effectively compute eigen-functions and energy levels

Numerical approaches improve modeling accuracy of bound quarks

Abstract

In this document, we examine exact and efficient numerical approaches to the MIT Bag Model, a theoretical framework used to describe the properties of bound quarks in Hadrons. We present the exact and Boundary Value Problem (BVP) numerical approaches. Both methods are effective in calculating the eigen-functions and energy levels. Notably, the precision of the BVP approach matches up to 10 decimal places when compared to the exact approach.