Fragmentation Production of Omega_ccc and Omega_bbb Baryons

The Lambda baryons with a single heavy flavor which transfer the quark polarization, have been studied both theoretically and experimentally. The Xi's with two heavy constituents are well treated in quark-diquark model. In this work we study the production of triply heavy baryons in the perturbative QCD regime and calculate the fragmentation functions for Omega_ccc and Omega_bbb in the c and b quark fragmentation, respectively. We then obtain the total fragmentation probability and the average fragmentation parameter for each case.