Charmonium Properties Using the Discrete Variable Representation (DVR) Method

TL;DR

This paper applies the discrete variable representation (DVR) method to numerically solve the Schrödinger equation for charmonium, computing spectra and decay widths with results aligning well with experimental data.

Contribution

It introduces the DVR method for charmonium calculations and demonstrates its effectiveness in obtaining accurate spectra and decay widths.

Findings

Results agree with experimental data

DVR method produces reliable spectra

Method matches other numerical approaches

Abstract

The Schr\"odinger equation is solved numerically for charmonium using the discrete variable representation (DVR) method. The Hamiltonian matrix is constructed and diagonalized to obtain the eigenvalues and eigenfunctions. Using these eigenvalues and eigenfunctions, spectra and various decay widths are calculated. The obtained results are in good agreement with other numerical methods and with experiments.