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In this paper, the mass spectra are obtained for doubly heavy $\Xi$ baryons,namely, $\Xi_{cc}^{+}$, $\Xi_{cc}^{++}$, $\Xi_{bb}^{-}$, $\Xi_{bb}^{0}$,$\Xi_{bc}^{0}$ and $\Xi_{bc}^{+}$. These baryons are consist of two heavyquarks($cc$, $bb$ and $bc$) with a light($d$ or $u$) quark. The ground, radialand orbital states are calculated in framework of Hypercentral constituentquark model with coul- omb plus linear potential. Our outcomes are alsocompared with other predictions, thus, the average possible range of excitedstates masses of these $\Xi$ baryons can be determined. The study of the Reggetrajectories are performed in (n, $M^{2}$) and (J, $M^{2}$) planes and theirslopes and intercepts are also determined. Lastly, the ground state magneticmoments of these doubly heavy baryons are also calculated.

Excited state mass spectra of doubly heavy $\Xi$ baryons