Charmonium spectrum and its decay properties

TL;DR

This paper calculates the charmonium spectrum and decay properties using a non-relativistic quark potential model, providing theoretical predictions and state assignments consistent with experimental data.

Contribution

It introduces a comprehensive calculation of charmonium mass spectrum and decay widths using the NRQP model and the 3P0 model, with wave functions fitted to SHO parameters.

Findings

Calculated mass spectrum and decay widths of charmonium states.

Assigned quantum numbers to X(3940), X(3872), X(3862), X(4350).

Results agree with experimental data and other models.

Abstract

In this work, we have calculated the mass spectrum, radiative decays, and strong decays of charmonium (cc) by using the non-relativistic quark potential(NRQP) model. The wave functions are calculated by solving the radial Schrodinger equation numerically, which are further used to compute the radiative decay widths of (cc) states. The 3P0 model is used to calculate the strong decay widths by using the simple harmonic (SHO) wave functions. The SHO parameter \b{eta} values for different cc states are calculated by fitting it to the numerical wave functions. We also compare our results with experimental data and other theoretically predicted results. We assign to the charmonium states X(3940), X(3872), X(3862), X(4350) likely quantum numbers of {\eta}c(3S), \c{hi}1(2P), \c{hi}0(2P) and \c{hi}2(3P) states.