The role of scalar and mass interactions in a relativistic model of the charmonium spectrum

TL;DR

This paper investigates scalar and mass interactions within a relativistic framework to model the charmonium spectrum, proposing a microscopic interaction model that accurately reproduces observed masses with minimal parameters.

Contribution

It introduces a microscopic model for scalar and mass interactions in a relativistic Dirac framework, specifically applied to charmonium, with a simplified parameter fitting approach.

Findings

Successfully reproduces the charmonium spectrum using only two free parameters.

Proposes a phenomenological hypothesis to fix a third parameter.

Provides a detailed analysis of scalar and mass interactions in heavy quarkonia.

Abstract

Lorentz scalar and mass interactions are studied in more detail in the framework of a reduced Dirac equation for heavy quark-antiquark mesons. A microscopic model for these interactions is proposed and analyzed. The charmonium mass spectrum is reproduced by means of two free parameters; a third parameter is fixed by means of a phenomenological hypothesis in accordance with the model.