Ground state heavy baryon production in a relativistic quark-diquark model

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We use current-current interaction to calculate the fragmentation functions to describe the production of spin-1/2, spin-1/2$'$ and spin-3/2 baryons with massive constituents in a relativistic quark-diquark model. Our results are in their analytic forms and are applicable for singly, doubly and triply heavy baryons. We discuss the production of $Ω_{bbc}$, $Ω_{bcc}$ and $Ω_{ccc}$ baryons in some detail. The results are satisfactorily compared with those obtained for triply heavy baryons calculated in a perturbative regime within reasonable values of the parameters involved.
8 pages, 4 figures. To appear in Phys. Rev. D

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