Abstract

A formalism for the description of energy dissipation in heavy-ion reactions within the two-centre shell model is proposed. Here dissipation is considered as due to the coupling of relative motion to intrinsic degrees of freedom. First, the formulation is carried out quantum mechanically. The problem reduces to the solution of coupled integrodifferential equations for energy distribution functionsfn(β) and\(\bar f_\varepsilon \)(β), where |\(\bar f_\varepsilon \)(β)|2 de is the probability of finding the intrinsic energy within the intervale andɛ+dɛ. By introducing suitable boundary conditions with incoming and outgoing waves the equations can be solved by iterative methods. The second method is based on the semi-classical approximation and is formulated in the time-dependent picture. Finally, a relationship between the friction coefficient and the distribution functions is given.

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