Spectroscopy and Decay properties of the charmonium

TL;DR

This paper investigates the mass spectra, decay properties, and transition rates of charmonium states using a Coulomb plus linear potential model, providing theoretical assignments for various experimental states and analyzing their decay behaviors.

Contribution

It introduces a comprehensive potential model approach to analyze charmonium spectra and decay properties, assigning experimental states and calculating transition rates and decay widths.

Findings

Mass spectra of charmonium are successfully modeled.

Assignments of experimental states to theoretical charmonium levels.

Calculated decay constants and transition rates match experimental data.

Abstract

The mass spectra of charmonium are investigated using a Coulomb plus linear (Cornell) potential. Gaussian wave function in position space as well as in momentum space are employed to calculate the expectation value of potential and kinetic energy respectively. Various experimental states ($X(4660)(5^{3}S_{1})$, $X(3872)(2^{3}P_{1})$, $X(3900)(2^{1}P_{1})$, $X(3915)(2^{3}P_{0})$ and $X(4274)(3^{3}P_{1})$ etc.) are assigned as charmonium states. We also study the Regge trajectories, pseudoscalar and vector decay constants, the Electric and Magnetic dipole transition rates and the annihilation decay width for charmonium states.