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

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 ${\Omega }^{\prime }$s are also calculated.

10 pages, 5 figures

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