Effect of deuteron breakup on elastic deuteron - nucleus scattering
- 1 June 1974
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 9 (6), 2210-2229
- https://doi.org/10.1103/physrevc.9.2210
Abstract
The properties of the transition matrix elements of the breakup potential taken between states and are examined. Here are eigenstates of the neutron-proton relative-motion Hamiltonian, and the eigenvalues of the energy are positive (continuum states) or negative (bound deuteron); is the sum of the phenomenological proton nucleus and neutron nucleus optical potentials evaluated for nucleon energies equal to half the incident deuteron energy. The bound-to-continuum transition matrix element for relative neutron-proton angular momenta are found to be comparable in magnitude to the ones for for values of larger than about 3 MeV, and both decrease only slowly with , suggesting that a large breakup spectrum is involved in deuteron-nucleus collisions. The effect of the various breakup transitions on the elastic phase shifts is estimated by numerically solving a set of coupled equations. These equations couple the functions which are the coefficients of the expansion of the neutron-proton-nucleus wave function in a set of the 's. The equations are rendered manageable by performing a (rather crude) discretization in the neutron-proton relative-momentum variable . Numerical results for 21.6-MeV deuterons incident on Ni and Ca which include only the first momentum bin ( MeV) and show that the effects on the elastic phase shifts are similar in several respects to those found by Johnson and Soper.
Keywords
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