An ivestigation of triply heavy baryon production at hadron colliders

The triply heavy baryons have a rather diverse mass range. While some of them possess considerable production rates at existing facilities, others need to be produced at future high energy colliders. Here we study the direct fragmentation production of the$\Omega_{ccc}$ and $\Omega_{bbb}$ baryons as the prototypes of triply heavy baryons at the hadron colliders with different $\sqrt{s}$. We present and compare the transverse momentum distributions of the differential cross sections, $p_T^{\rm min}$ distributions of total cross sections and the integrated total cross sections of these states at the RHIC, the Tevatron Run II and the CERN LHC.