Closed-shell properties of $^{24}$O with {\em ab initio} coupled-cluster theory

TL;DR

This paper uses advanced ab initio coupled-cluster calculations with a sophisticated basis to analyze the shell structure of oxygen-24, confirming its status as a closed-shell nucleus through spectroscopic factors.

Contribution

It introduces a novel ab initio approach combining coupled-cluster theory with a Berggren basis to accurately compute spectroscopic factors for oxygen isotopes.

Findings

Supports that $^{24}$O is a closed-shell nucleus

Provides neutron and proton removal spectroscopic factors

Uses a state-of-the-art chiral interaction and continuum coupling

Abstract

We present an \emph{ab initio} calculation of spectroscopic factors for neutron and proton removal from $^{24}$O using the coupled-cluster method and a state-of-the-art chiral nucleon-nucleon interaction at next-to-next-to-next-to-leading order. In order to account for the coupling to the scattering continuum we use a Berggren single-particle basis that treats bound, resonant, and continuum states on an equal footing. We report neutron removal spectroscopic factors for the $^{23}$O states $J^{\pi} = 1/2^+$, $5/2^+$, $3/2^-$ and $1/2^-$, and proton removal spectroscopic factors for the $^{23}$N states $1/2^-$ and $3/2^-$. Our calculations support the accumulated experimental evidence that $^{24}$O is a closed-shell nucleus.