# Charmonium Mass Spectrum with Spin-Dependent Interaction in Momentum-Helicity Space

## TL;DR

This study numerically solves the nonrelativistic Lippmann-Schwinger equation in momentum-helicity space using a spin-dependent potential to compute the charmonium mass spectrum, comparing results with existing theories and experiments.

## Contribution

It introduces a numerical method for solving the charmonium spectrum using momentum-helicity basis states with a spin-dependent potential.

## Key findings

- Calculated charmonium mass spectrum aligns with experimental data.
- Method provides a new approach for nonrelativistic quark-antiquark systems.
- Results are consistent with other theoretical models.

## Abstract

In this paper we have solved the nonrelativistic form of the Lippmann-Schwinger equation in the momentum-helicity space by inserting a spin-dependent quark-antiquark potential model numerically. To this end, we have used the momentum-helicity basis states for describing a nonrelativistic reduction of one gluon exchange potential. Then we have calculated the mass spectrum of the charmonium $\psi(c\bar{c})$, and finally we have compared the results with the another theoretical results and experimental data.