The DWBA and Mitra's three-body model of stripping
Abstract
Mitra's three-body (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 (many-body) case of nuclear reactions if the neutron-proton interaction Vnp is of separable form. The three-body 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 two-body wave functions in DWBA to replace the three-body wave-function (neglect of deuteron internal distortion or ``stretching'') is thus justified on the basis of Vnp 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:
- 10.1016/0370-2693(71)90037-2
- Bibcode:
- 1971PhLB...37..145B