Johnson and Soper's method of including deuteron breakup for the calculation of stripping cross sections
Abstract
The equations of Johnson and Soper (JS) are rederived by utilizing an expansion of the deuteronnucleus wave function in terms of the continuum eigenstates of the neutronproton Hamiltonian, and are generalized so as to allow for breakup states in which the relative neutronproton angular momenta h̵l are different from zero. Apart from the ab initio neglect of the breakup energies, the approximation required to establish these equations are found to be acceptable. A numerical application for the case of 21.6 MeV (d, p) reactions on ^{40}Ca shows that the l = 2 breakup continuum has a small effect on the ∆l = 3 and ∆l = 1 stripping cross sections. A sum rule, expressing the generalized JS potentials in terms of potentials which depend on the individual breakup momenta, is established. Numerical application to the 21.6 MeV d ^{40}Ca example shows that the l = 0 breakup spectrum contains breakup energies at least as large as 10 MeV, and that the 1 = 2 spectrum requires inclusion of breakup energies up to about 40 MeV. It is concluded that the neglect of breakup energies in the derivation of the JS equations requires further investigation.
 Publication:

Nuclear Physics A
 Pub Date:
 April 1975
 DOI:
 10.1016/03759474(75)903930
 Bibcode:
 1975NuPhA.241..365R