S-Wave Spectra of $\Omega ^0_c$ Baryon in a Relativistic Dirac Formalism Using the Independent Quark Model

Abstract

In this article, we investigate the S-wave of $\Omega _{c}^0$ baryon in the relativistic Dirac formalism. The spectroscopy is performed using the independent quark model(IQM). The spin-average masses are obtained by summing the individual Dirac energies of the constituent quarks under the mean field confinement of Martin-like potential with a parametric center of mass correction. We find the spin-average masses of low-lying S-wave and the spin degeneracy is removed by considering the spin-spin($j\cdot j$) interactions. The best-fitted potential parameters yielded the estimation of the ground state masses in very good agreement with experimental data. The computed masses of $1S(\frac{3}{2}^+)$, 2768.84 MeV and $1S(\frac{1}{2}^+)$, 2698.14 MeV are very close to the experimentally observed states. We also predict the experimentally observed state $\Omega ^{0}_c(3120)$ is 3102 MeV as $2S(\frac{3}{2}^+)$ state. Higher S state doublets are also predicted which will be useful for the identification of future experimental data.