On the dynamics of charge equilibration in deep inelastic reactions

Abstract

A simplified version of the fragmentation theory is developed. The authors have shown that the time evolution of charge distributions in the systems 86Kr+92,98Mo is very well described by a one-dimensional time-dependent Schrodinger equation in the charge asymmetry coordinate with a friction term of Kostin type (1972). For kinetic coefficients they took the values given by the cranking formula, while for the potential a parabola fitted to the fragmentation potential computed at the touching radius with the binding energies of the reaction partners with fixed mass numbers but different charges was used. As the initial condition a Gaussian distribution centred at the charge asymmetry of the reaction partners with a width of a few charge units was used. The time was assumed to be proportional to the energy dissipated.