A quark transport theory to describe nucleon-nucleon collisions

Abstract On the basis of the Friedberg-Lee model we formulate a semiclassical transport theory to describe the phase-space evolution of nucleon-nucleon collisions on the quark level. The time evolution is given by a Vlasov equation for the quark phase-space distribution and a Klein-Gordon equation for the mean-field describing the nucleon as a soliton bag. The Vlasov equation is solved numerically using an extended test-particle method. We test the confinement mechanism and mean-field effects in (1 + 1)-dimensional simulations.