Application of complex transition density to nuclear reaction and effect of phase factor

TL;DR

This paper explores the direct application of complex transition densities in nuclear reaction models, examining how phase factors influence elastic and inelastic scattering cross sections across various theoretical frameworks.

Contribution

It introduces the use of complex transition densities directly in microscopic reaction models and analyzes the impact of phase factors on scattering outcomes.

Findings

Phase factors significantly affect elastic and inelastic cross sections.

Complex transition densities provide a more direct approach in reaction modeling.

The effect varies across different theoretical frameworks.

Abstract

Complex transition density can be constructed by a nuclear structure model with a complex basis and/or complex coefficient. In general, the complex transition density is converted to the real one with phase factor. In this study, we apply the complex transition density directly to the microscopic reaction model. We compare with scattering cross sections calculated with the real and complex transition densities in the frameworks of the optical model, the distorted wave Born approximation, and the coupled-channel (CC) calculation, respectively. In addition, we investigate the dependence of the phase factor for the transition density in the elastic and inelastic cross sections. The effect of the phase factor on the elastic and inelastic cross sections can be seen in the CC calculation. Finally, we found an important role of the phase factor in the nuclear elastic and inelastic scatterings.