Some studies of realistic form factors for nucleon-transfer reactions

Abstract

The effect of nuclear structure details on pick-up and stripping form factors is investigated. After a short review of other calculations, an approximate method is set up in which the form factor emerges as the solution of an inhomogeneous differential equation. The requirement that the derived spectroscopic amplitudes agree with corresponding shell-model amplitudes is shown to impose a condition on the potentials employed. For pick-up reactions involving the “small” components of the wave functions, structure effects often tend to enhance the form factor in the surface region. For stripping reactions, the opposite is true. The 58Ni(p, d) reaction has been studied in some detail with particular attention to the effect produced by different choices for the nuclear wave functions and residual nucleon-nucleon force. The distorted wave analysis, which mediates the comparison with experiment, is critically appraised. Although the derived angular distributions do not vary greatly, the extracted spectroscopic factors are found to be sensitive to the assumptions used. In addition, some preliminary work on the 40Ca(p, d) reaction is reported.