Theory of (d, p) and (d, n) Reactions

Abstract

The theory of angular distributions in ($d, p$) and ($d, n$) reactions is developed by means of standard Green's function techniques, thereby yielding a straightforward derivation of a formula originally deduced by Butler. To minimize formal complications the particles are assumed spinless, and the nucleus replaced by a center of force. It is shown that Butler's theory involves an approximation equivalent to Born approximation, which elucidates the agreement between the Butler and Born approximation derivations of the stripping formula. A discussion relating to the success of the theory is appended.