Complex scaling : physics of unbound light nuclei and perspective

TL;DR

This paper discusses the complex scaling method (CSM) for analyzing unbound light nuclei, focusing on resonant states, continuum level density, and the effects of resonant and non-resonant contributions in scattering phenomena.

Contribution

It applies CSM to unbound light nuclei, highlighting its effectiveness in describing resonances and continuum states in unstable nuclei.

Findings

CSM effectively describes resonant and non-resonant continuum states.

Analysis of continuum level density reveals explicit resonant contributions.

Transition strength functions are influenced by both resonant and non-resonant effects.

Abstract

The complex scaling method (CSM) is one of the most powerful methods of describing the resonances with complex energy eigenstates, based on non-Hermitian quantum mechanics. We present the basic application of CSM to the properties of the unbound phenomena of light nuclei. In particular, we focus on many-body resonant and non-resonant continuum states observed in unstable nuclei. We also investigate the continuum level density (CLD) in the scattering problem in terms of the Green's function with CSM. We discuss the explicit effects of resonant and non-resonant contributions in CLD and transition strength functions.