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

We use current-current interaction to calculate the fragmentation functions to describe the production of spin-1/2, spin-1/2${}^{\mathrm{\prime }}$ 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 ${\mathrm{\Omega }}_{bbc}$, ${\mathrm{\Omega }}_{bcc}$ and ${\mathrm{\Omega }}_{ccc}$ 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.