Testing the validity of the surface approximation for reactions induced by weakly bound nuclei with a fully quantum-mechanical model

We examine the validity of surface approximation for breakup reactions using a fully quantum-mechanical model proposed by Ichimura, Austern, and Vincent (IAV). Analogous to the semiclassical picture, we introduce radial cut-offs to scattering waves in the IAV framework, which we refer to as IAV-cut. Systematic calculations are conducted for nonelastic breakup reactions induced by 6Li and deuterons at various incident energies. A comparison between the results obtained from IAV and IAV-cut is performed. The excellent agreement observed between IAV and IAV-cut in 6Li induced reactions, regardless of incident energy and target nuclei, signifies their insensitivity to the inner part of the scattering wave function, thus providing validation for the semiclassical picture. However, for deuteron induced breakup reactions, the IAV-cut results exhibit a suppression in the cross section, suggesting a strong dependence on the interior wave functions. This suppression is further enhanced as the incident energy increases.

Automated summary

In this study, the validity of surface approximation for breakup reactions is examined using a fully quantum-mechanical model proposed by Ichimura, Austern, and Vincent (IAV). We introduce radial cut-offs to scattering waves in the IAV framework, referred to as IAV-cut, analogous to the semiclassical picture. Systematic calculations are performed for nonelastic breakup reactions induced by 6Li and deuterons, and a comparison between IAV and IAV-cut results is made. The agreement observed between IAV and IAV-cut in 6Li induced reactions provides validation for the semiclassical picture, while deuteron induced reactions show a strong dependence on the interior wave functions, indicated by the suppression observed in the IAV-cut results, which increases with incident energy.