Continuum Coupling and Single-Nucleon Overlap Integrals

TL;DR

This paper investigates how the particle continuum influences spectroscopic properties of weakly bound nuclei, demonstrating continuum effects on overlap integrals and showing how to generate realistic radial functions for transfer reactions.

Contribution

It applies the Gamow Shell Model to analyze continuum coupling effects on neutron-rich nuclei, providing new insights into spectroscopic factors and overlap functions near particle emission thresholds.

Findings

Continuum coupling significantly affects spectroscopic factors near thresholds.

Realistic radial overlap functions can be generated using complex potential single-particle wave functions.

Characteristic energy dependence of spectroscopic factors varies with angular momentum.

Abstract

The presence of a particle continuum, both of a resonant and non-resonant character, can significantly impact spectroscopic properties of weakly bound nuclei and excited nuclear states close to, and above, the particle emission threshold. In the framework of the continuum shell model in the complex momentum-plane, the so-called Gamow Shell Model, we discuss salient effects of the continuum coupling on the one-neutron overlap integrals and the associated spectroscopic factors in neutron-rich helium and oxygen nuclei. In particular, we demonstrate a characteristic near-threshold energy dependence of the spectroscopic factors for different l-waves. We show also that the realistic radial overlap functions, which are needed for the description of transfer reactions, can be generated by single-particle wave functions of the appropriately chosen complex potential.