Heavy quarkonium spectra and its decays in a nonrelativistic model with Hulthen potential

Abstract

In this paper, we have made a comprehensive study of S wave quarkonium spectra in the general framework of a nonrelativistic potential model. The full potential used in our model consists of a Hulthen potential and a confining linear potential. The spin hyperfine interaction is introduced to obtain the masses of the pseudoscalar and vector mesons. The three-dimensional harmonic oscillator wavefunction is used as a trial wavefunction to obtain the mass spectra. The model parameters and the wavefunction that reproduce the mass spectra of and mesons are used to investigate the decay constants, leptonic decay widths, two-photon and two-gluon decay widths, and radiative decay widths of the S wave and mesons. The obtained values are compared with the experimental results and with the values obtained from other theoretical models. The predictions from our model are found to be in good agreement with the experimental results.