Properties of Charmonium States in a Phenomenological Approach

Abstract

We investigate the spectrum and decay rates of low lying charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, leptonic and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.

A Relativistic Model for the Charmonium Spectrum with a Reduced Number of Free Parameters

“…A momentum-helicity model [4], also with five parameters, was proposed for the charmonium spectrum. A model for the spectrum and decay rates with a Coulomb-like potential, a linear confining potential and a potential derived from the instanton vacuum [5], was studied. This model used four parameters.…”

Spin Splitting Spectroscopy of Heavy Quark and Antiquarks Systems

“…Also, we use spin-dependent splitting terms: spin-spin interaction, spin-orbital interaction, and tensor interaction, respectively [35][36][37][38][39][40][41][42][43].…”

Probing axial-vector charmonia χ c1(1P) and χ c1(2P)

“…MeV in Ref. [10]. According to the prediction of the naive potential model, the mass of X(3872) is 50 MeV lower than the mass of χ c1 (2P ), too.…”