Spectroscopic factors in dripline nuclei

TL;DR

This paper investigates how continuum effects influence spectroscopic factors in dripline nuclei, using advanced shell models to explain experimental suppression observed in knockout reactions.

Contribution

It applies the Gamow Shell Model and Shell Model Embedded in the Continuum to calculate spectroscopic factors, highlighting the role of continuum effects in dripline nuclei.

Findings

Continuum effects strongly suppress spectroscopic factors of well-bound orbits.

Weakly-bound states are less affected by continuum suppression.

Results align with experimental observations of spectroscopic factor suppression.

Abstract

Single-nucleon knockout reaction studies of the proton-dripline nuclei $^9$C and $^{13}$O suggest an appreciable suppression of spectroscopic factors. In this work, we calculate the one-neutron and one-proton spectroscopic factors for the mirror pair $^9$C-$^9$Li and $^{13}$O using two variants of the continuum shell model: the complex-energy Gamow Shell Model and the real-energy Shell Model Embedded in the Continuum. Our results indicate that the continuum effects strongly suppress the spectroscopic factors of well-bound orbits in the dripline systems, but have less impact on the spectroscopic factors of weakly-bound states.