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We discuss the mass spectrum of $\Omega$ baryon with two heavy quarks and onelight quark (\textit{ccs, bbs and bcs}). The main goal of the paper is tocalculate the ground state masses and after that, the positive and negativeparity excited states masses are also obtained within a HypercentralConstituent quark model, using coulomb plus linear potential framework. We alsoadded first order correction to the potential. The mass spectra upto 5S forradial excited states and 1P-5P, 1D-4D and 1F-2F states for orbital excitedstates are computed for $\Omega_{cc}$, $\Omega_{bb}$ and $\Omega_{bc}$ baryons.Our obtained results are compared with other theoretical predictions whichcould be a useful complementary tool for the interpretation of experimentalyunknown 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.

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