Examining the effect of nonlocality in $(d,n)$ transfer reactions

Background: In the past year we have been exploring the effect of the explicit inclusion of nonlocality in $(d,p)$ reactions.

Purpose: The goal of this paper is to extend previous studies to $(d,n)$ reactions, which, although similar to $(d,p)$ reactions, have specific properties that merit inspection.

Method: We apply our methods (both the distorted-wave Born approximation and the adiabatic wave approximation) to $(d,n)$ reactions on ${}^{16}\mathrm{O},{}^{40}\mathrm{Ca},{}^{48}\mathrm{Ca},{}^{126}\mathrm{Sn},{}^{132}\mathrm{Sn}$, and ${}^{208}\mathrm{Pb}$ at 20 and 50 MeV.

Results: We look separately at the modifications introduced by nonlocality in the final bound and scattering states as well as the consequences reflected on the differential angular distributions. The cross sections obtained when using nonlocality explicitly are significantly different than those using the local approximation, just as in $(d,p)$ reactions. Due to the particular role of the Coulomb force in the bound state, often we found the effects of nonlocality to be larger in $(d,n)$ than in $(d,p)$ reactions.

Conclusions: Our results confirm the importance of including nonlocality explicitly in deuteron-induced reactions.

Figure 1

Angular distributions for ${}^{48}\mathrm{Ca}(d,n){}^{49}\mathrm{Sc}$ at (a) 20 MeV and (b) 79 MeV with data from Ref. [9]. The inset shows the theoretical distributions normalized to the peak of the data.

Figure 2

Angular distributions for ${}^{208}\mathrm{Pb}(d,n){}^{209}\mathrm{Bi}$ at (a) 25 MeV with data from Ref. [10] and (b) 50 MeV. The inset shows the theoretical distributions normalized to the peak of the data.