Analysis of theCa40(d, p)Ca41Reaction

Abstract

The method recently developed by Butler, Hewitt, McKellar, and May (BHMM) is used in an analysis of the ${\mathrm{Ca}}^{40}(d, p){\mathrm{Ca}}^{41}$ ground-state reaction for six different deuteron energies. The BHMM expression for the ($d, p$) differential cross section depends only on neutron and proton elastic-scattering wave functions. In the present work, these are generated by optical parameters so chosen as to give elastic-scattering cross sections in satisfactory agreement with experiment. The ($d, p$) angular distributions are then also found to be in good agreement with experiment. It is determined that the spectroscopic factor relating to the ${\mathrm{Ca}}^{40}$-${\mathrm{Ca}}^{41}$ overlap has the value 0.56±0.04.