Production of Ωbbc and Ωbcc baryons in quark–diquark model

Using perturbative quantum chromodynamics and quark–diquark model of baryons, we have obtained an analytical fragmentation function which describes Ωbbc and Ωbcc baryons in b and c quarks fragmentation. The universal fragmentation probabilities, the average fragmentation parameters and the production cross sections resulting from this function are in a very good agreement with those obtained using a full perturbative regime. We conclude that the quark–diquark model of baryons works well when a scalar heavy diquark is considered in a heavy quark fragmentation into a triply heavy baryon.