Excited State Mass spectra of doubly heavy baryons $\Omega_{cc}$, $\Omega_{bb}$ and $\Omega_{bc}$

TL;DR

This paper calculates the mass spectra of doubly heavy $\\Omega$ baryons with various excitations using a hypercentral constituent quark model, providing theoretical predictions for future experimental validation.

Contribution

It presents new detailed mass spectra including excited states and magnetic moments of doubly heavy $\\Omega$ baryons using an improved potential model with first order corrections.

Findings

Mass spectra up to 5S, 1P-5P, 1D-4D, 1F-2F states computed.

Regge trajectories constructed with determined slopes and intercepts.

Magnetic moments of doubly heavy $\\Omega$ baryons calculated.

Abstract

We discuss the mass spectrum of $\Omega$ baryon with two heavy quarks and one light quark (\textit{ccs, bbs and bcs}). The main goal of the paper is to calculate the ground state masses and after that, the positive and negative parity excited states masses are also obtained within a Hypercentral Constituent quark model, using coulomb plus linear potential framework. We also added first order correction to the potential. The mass spectra upto 5S for radial excited states and 1P-5P, 1D-4D and 1F-2F states for orbital excited states are computed for $\Omega_{cc}$, $\Omega_{bb}$ and $\Omega_{bc}$ baryons. Our obtained results are compared with other theoretical predictions which could be a useful complementary tool for the interpretation of experimentaly unknown heavy baryon spectra. The Regge trajectory is constructed in both ($n_r$, $M^{2}$) and ($J$, $M^{2}$) planes for $\Omega_{cc}$,$\Omega_{bb}$ and $\Omega_{bc}$ baryons and their slopes and intercepts are also determined. Magnetic moments of doubly heavy $\Omega'$s are also calculated.