Calculating the (d, p) transfer cross section using local and nonlocal models

Abstract

The distorted wave Born approximation (DWBA) with a nonlocal deuteron-nucleus d-A potential (Canadian Journal of Physics, 100(6):309–318, 2022) is used to calculate (d, p) transfer cross sections. We considered three target nuclei: light \(^{16}\)O, intermediate \(^{40}\)Ca and heavy \(^{208}\)Pb. For each target nucleus we extracted spectroscopic factors and determined asymptotic normalization coefficients for various values of the single particle radius. The spectroscopic factors are reduced in agreement with previous works in the literature. Compared to the results of DWBA with a local model, the nonlocal model resulted in more peripheral transfer reactions for \(^{40}\)Ca and \(^{208}\)Pb target nuclei, but no significant effect is observed for the light \(^{16}\)O target nucleus. The predicted transfer cross sections are in very good agreement with the experimental data particularly for \(^{40}\)Ca and in the vicinity of the first peak. For the other two target nuclei the predictions of the DWBA with a local model are in slightly better agreement with experiment than the predictions of the nonlocal model at large angles beyond the first peak. For the \(^{16}\)O(d, p)\(^{17}\)O reaction, the fast decrease in the transfer cross section at small forward angles is better predicted by the nonlocal model than the local one. This suggests that the nonlocal model accounts, at least partially, for the channel coupling nonlocality resulting from deuteron break up in the entrance channel.