Deuteron stripping and pick-up on halo nuclei

Abstract

We present an approach to halo transfer in $(p,d)$ and $(d,p)$ reactions in which excitation and breakup effects are treated in a simple way. The method assumes that halo excitation energies are small compared with kinetic energies in the channel containing halo nucleus. It is shown that in the zero-range approximation to this approach the transfer amplitude has a formal resemblance to the conventional distorted wave Born approximation amplitude in which the distorted wave in the channel containing the halo nucleus is replaced by an effective distorted wave. Finite-range corrections are included using a generalization of the local-energy approximation. As a first application of the method, numerical calculations have been performed for the ${}^{16}\mathrm{O}{(d,p)}^{17}\mathrm{O}{,}^{10}\mathrm{Be}{(d,p)}^{11}\mathrm{Be},$ and ${}^{11}\mathrm{Be}{(p,d)}^{10}\mathrm{Be}$ reactions. Deuteron breakup was included within the adiabatic approach of Johnson and Soper. It was found that including recoil excitation and breakup of the ${}^{17}\mathrm{O}$ and ${}^{11}\mathrm{Be}$ nuclei increases the calculated cross sections and thus decreases the deduced spectroscopic factors. This effect is expected to increase with incident energy and decrease when the mass of the core of the halo nucleus increases relative to the mass of the halo.