The $(d,p)$ stripping reaction has proved a useful tool for probing single particle aspects of nuclear structure. With the advent of beams of exotic nuclei there has been renewed interest in charged particle spectroscopy and $(d,p)$ stripping in particular as a means of investigating the structure of neutron-rich nuclei via reactions in inverse kinematics. The distorted wave Born approximation was shown to be inappropriate for the analysis of $(d,p)$ reactions some 30 years ago, due to the importance of the deuteron breakup channel. While the simple adiabatic model has been demonstrated to work rather well in this context, modern computing facilities enable a more realistic treatment of the deuteron breakup process via the continuum discretized coupled channels procedure to be included in $(d,p)$ calculations. In this work we present a comprehensive analysis method for $(d,p)$ reactions using CDCC to model deuteron breakup and the Reid soft-core nucleon-nucleon potential to calculate the deuteron internal wave function. The model is tested against ${}^{12}\mathrm{C}(d,p)$ data at incident deuteron energies of 15 and $30\mathrm{MeV}$ where all the necessary ancillary data are available. It is then applied to the ${}^{10}\mathrm{Be}(d,p)$ reaction at 12 and $25\mathrm{MeV}$ where only the transfer cross section data are available.

• Received 22 March 2004

DOI:https://doi.org/10.1103/PhysRevC.69.064604