Abstract
We analytically compute the process-independent fragmentation functions of heavy quarks to fragment into ground state triply heavy baryons considering the Fermi motion effect of their constituent quarks. The effect of Fermi motion is basically included in the baryon wave functions so in all previous studies, a delta function form was approximated for the baryon wave functions which corresponds to ignoring this effect. Here, we study for the first time the effect of nonperturbative dynamics of baryon bound state considering a typical wave function which is different from the delta function and is the nonrelativistic limit of the solution of Bethe-Salpeter equation with the QCD kernel. Our analytical results will be presented for the fragmentation processes $b\rightarrow\Omega_{bbc}$ and $c\rightarrow\Omega_{ccb}$ through a scalar bc diquark intermediated.
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