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^', 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 Ωbbc, Ωbcc, and Ωccc 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.