Proton and neutron flow in quasielastic and deep-inelastic heavy ion collisions

Abstract
A statistical independent particle model is presented for neutron and proton exchange between heavy ions undergoing deep-inelastic collisions in which the potential energy surface of the combined projectile-target system and the tunneling of nucleons through the single particle potential barrier formed between projectile and target play the essential role. The model thus combines statistical and quantal fluctuations on the same footing. The two-dimensional Fokker-Planck equation satisfied by the neutron and proton distribution is solved by moment expansion up to the second moments. The dynamics of the reaction is included by coupling the Fokker-Planck equation to the Newton equation with friction. A detailed comparison is made with several recent experimental results and a number of persistent deviations from the data are discussed.