$\Omega_c$ baryon spectrum and strong decays in a constituent quark model

TL;DR

This paper models the spectrum and decay properties of $\\Omega_c$ baryons using a semi-relativistic quark potential approach, explaining observed resonances and predicting missing states.

Contribution

It provides a unified theoretical framework for explaining masses and decay widths of observed and predicted $\\Omega_c$ baryons using a semi-relativistic constituent quark model.

Findings

Successfully explains masses and widths of observed $\\Omega_c$ states.

Predicts optimal channels and mass regions for missing $\\Omega_c$ resonances.

Offers a reference for future experimental searches.

Abstract

In this work, we study the masses of the $1S$-, $1P$-, $1D$-, $2S$-, and $2P$-wave $\Omega_c$ baryon states within a semi-relativistic constituent quark potential model. Furthermore, the strong decay properties for the excited $\Omega_c$ states are evaluated by using the masses and wave functions obtained from the potential model. In a unified framework, we provide a reasonable explanation of both the masses and widths for the newly observed $\Omega_c$ resonances $\Omega_c(3000)$, $\Omega_c(3050)$, $\Omega_c(3065)$, $\Omega_c(3090)$, $\Omega_c(3120)$, $\Omega_c(3185)$, and $\Omega_c(3327)$. Based on the obtained decay properties and mass spectrum, we further suggest optimal channels and mass regions to find the missing $\Omega_c$ resonances. We expect our study can provide a useful reference for establishing the $\Omega_c$ spectrum.