qqqbar to qqqbar and qqbarqbar to qqbarqbar Elastic Scatterings and Thermalization of Quark Matter and Antiquark Matter

Thermalization of quark matter and antiquark matter is studied with quark-quark-antiquark as well as quark-antiquark-antiquark elastic scatterings. Squared amplitudes of qqqbar to qqqbar and qqbarqbar to qqbarqbar at order alpha_s^4 are derived in perturbative QCD. Solved by a new technique, solutions of transport equations with the squared amplitudes indicate that the scatterings qqqbar to qqqbar and qqbarqbar to qqbarqbar shorten the thermalization time of quark matter and antiquark matter. It is emphasized that three-parton and other multi-parton scatterings become important at the high parton number density achieved in RHIC Au-Au collisions.