Investigation of three body system using confining potential in non-relativistic quark model

Abstract

This paper investigates the properties of three-body baryonic systems using a non-relativistic quark model with a confining potential. The objective is to understand the binding energies and mass spectra of light and heavy baryons, such as protons, neutrons, and their excited states. The research employs a potential that combines a short-range Coulomb-like term, derived from one-gluon exchange, and a long-range linear confining term. This model, a simplified yet effective approach to Quantum Chromodynamics (QCD), is solved using the Faddeev equations or a similar few-body method to handle the complex interactions. The main findings indicate that this model successfully predicts the ground state and some excited state mass spectra of baryons, showing good agreement with experimental data. The significance of this study lies in its ability to provide a tractable theoretical framework for studying quark dynamics, offering insights into the strong force and the internal structure of matter. It serves as a valuable tool for future research on exotic hadrons and multi-quark systems.