New alternative to the resonating group method

Abstract

When the cluster model approximation is used with the antisymmetrized coupled equations formalism for the scattering of complex nuclei there results an approximate method which appears to be an attractive alternative to the resonating group method. The antisymmetrized coupled equations formalism leads to a Schr\"odinger type of equation which has unique solutions in contrast to the resonating group method equation for which redundant solutions exist. The two methods are compared by applying them to the model problem of dineutron-dineutron scattering, and we find that the predicted cross sections are qualitatively similar. In addition, it is shown how the results of a cluster model calculation, which presumably provides a description of direct interaction effects, can be used as input into a Feshbach projection operator type calculation for compound nucleus formation effects.NUCLEAR REACTIONS Alternative to resonating group method for treating exchange effects in nuclear reactions. Calculation of dineutron-dineutron scattering.