Gaussian expansions in distorted-wave—Born-approximation calculations

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Abstract
The use of Gaussian expansions for the bound-state functions in distorted-wave—Born-approximation calculations is discussed. The use of these expansions leads to an analytic expression for the form factor which can be used to simplify the numerical evaluation of the matrix element. In addition, the Gaussian functions are useful when studying the structure of the form factor. In particular, the validity of the "no-recoil" approximation is discussed and a semiclassical interpretation is presented. A computer program (Gauss) using the Gaussian expansions has been developed and used to evaluate the cross sections of some previously studied reactions. Comparisons of the results with those of other programs are given.