A semiclassical approximation for massive transfer

A semiclassical approximation for the transition matrix for transfer reactions between heavy ions is developed from the distorted-wave Born approximation by means of the three-dimensional WKB approximation. It is designed to be applicable to massive transfer without adopting various assumptions and approximations of previous semiclassical approaches which are reasonable only for few-nucleon transfer. The final expression obtained is of a simple closed form similar to that of the Brink model. It gives a way of seeing the validity of the idea of Brink in massive transfer. Numerical study of illustrative examples indicates promising applicability of the present method to massive transfer.