Abstract

In order to take into account in a consistent manner the effect of the $D$ state of the deuteron on ($d,p$) and ($d,n$) stripping reactions, and to study the effect on the vector and tensor polarizations, it is essential to include finite range in the distorted-wave Born-approximation calculations. To reduce the complexity of the exact finite-range calculations two approximations have been developed. The first is based essentially on an expansion of the finite-range form factor and the double-radial integral of the exact theory in powers of the $n\ensuremath{-}p$ separation distance. The second uses a $\ensuremath{\delta}$ potential over a spherical shell, and is a generalization of the usual zero-range approach. Computational aspects of the problem are also discussed.NUCLEAR REACTIONS Two approximate treatments of finite-range, $D$-state DWBA effects in stripping reactions; using $n\ensuremath{-}p$ separation expansions and spherical $\ensuremath{\delta}$-shell assumption.

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