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