The DWBA and Mitra's threebody model of stripping
Abstract
Mitra's threebody (separable potential) model of stripping is reexamined and new results are derived. In particular it is shown that a DWBA can be formulated for which the DWBA matrix element is identical to the exact stripping matrix element. A similar result is found to hold in the (manybody) case of nuclear reactions if the neutronproton interaction V_{np} is of separable form. The threebody calculations of Reiner and Jaffe are used to show that the conventional DWBA matrix element is a good approximation to the exact (new DWBA) matrix element. The use of a product of twobody wave functions in DWBA to replace the threebody wavefunction (neglect of deuteron internal distortion or ``stretching'') is thus justified on the basis of V_{np} being well approximated by a separable interaction.
Work supported in part by the US Atomic Energy Commission.
 Publication:

Physics Letters B
 Pub Date:
 November 1971
 DOI:
 10.1016/03702693(71)900372
 Bibcode:
 1971PhLB...37..145B