Effect of Monotonic and Non-Monotonic Potentials on the \({}^{{40}}\)Ca(\(\alpha\), \({}^{{3}}\)He)\({}^{{41}}\)Ca Reaction at 36 and 40 MeV

Abstract

The direct one-nucleon transfer \({}^{40}\)Ca(\(\alpha\), \({}^{3}\)He)\({}^{41}\)Ca reaction has been investigated at 36 and 40 MeV incident energies. The full finite-range (FFR) distorted-wave Born approximation (DWBA) analysis has been carried out for the angular distributions of the reaction. Two forms of the monotonic potentials namely, Woods–Saxon and Michel, and both the shallow non-monotonic (molecular) and deep non-monotonic (DNM) potentials in the framework of the optical model are used to analyze the transitions to the ground state and to fifteen and twelve excited states in \({}^{41}\)Ca at 36 and 40 MeV, respectively. The extracted spectroscopic factors from all forms of the optical model potentials have been compared with the previous calculations. To estimate the quality of fits, the \(\chi_{N}^{2}\) values of the optical model potentials are calculated for the \(\alpha+{}^{40}\)Ca elastic scattering and the \({}^{40}\)Ca(\(\alpha\), \({}^{3}\)He)\({}^{41}\)Ca reaction at two incident energies. The present analysis shows that Michel, molecular, and DNM potentials are able to produce a satisfactory fit to the elastic scattering data, but the Woods–Saxon potential is found to be incompetent. Although, all forms of the monotonic and non-monotonic potentials give an overall good description of the angular distributions in most of the states for the reaction analysis at two incident energies. In this study, it has been also observed that the FFR DWBA analysis is apparently satisfactory for the \({}^{40}\)Ca(\(\alpha\), \({}^{3}\)He)\({}^{41}\)Ca reaction analysis using all forms of the optical model potentials at 36 and 40 MeV.