A relativistic model for the Charmonium spectrum with a reduced number of free parameters

TL;DR

This paper presents a relativistic model for the Charmonium spectrum using a reduced Dirac equation, a simplified potential, and only three free parameters, achieving accurate spectral descriptions.

Contribution

It introduces a novel reduced Dirac equation approach with a regularized potential and minimal free parameters for Charmonium modeling.

Findings

Accurately reproduces Charmonium spectrum with three parameters

Uses a regularized vector potential depending on coupling and radius

Incorporates scalar interaction with constrained parameters

Abstract

A previously introduced reduction of the Dirac equation is used to study the Charmonium spectrum. A regularized vector potential that only depends on the coupling constant and on the regularization radius is adopted, considering the interacting quark as an extended source of the Chromo-electric field. A scalar interaction is also introduced with some constraints for its parameters. A good description of the structure of the Charmonium spectrum is obtained with only three free parameters.