Invariant Imbedding and Neutron Transport Theory II-Functional Equations

Abstract

No abstract. 13:000396A procedure is developed for obtaining, in nuclear shell theory, the matrix elements associated with short range interactions between nucleons. It is shown that potentials of arbitrary range, both central and spin dependent, can be developed in terms of a series of velocity dependent potentials in increasing powers of the momentum, but all of zero range. The coefficients of the terms in this series are the successive moments of the potential; thus. for short range forces, only the first few terms of the series will be relevant. All the matrix elements for two nucleons in the same shell and in LS coupling, up to terms containing the first moment of the potentgnal, are obtained. The matrix elements for central spin-orbit coupling and tcnsor forces, are compared, taking for the interaction potential between nucleons, a value recently proposed. (auth)