Abstract
Using perturbative quantum chromodynamics and quark–diquark model of baryons, we have obtained an analytical fragmentation function which describes Ω b b c and Ω b c c 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.
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