Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling

TL;DR

This paper uses the Gamow shell model with a realistic nuclear force to accurately predict properties of neutron-rich calcium isotopes, including binding energies, shell closures, and the neutron dripline, aiding future experimental research.

Contribution

It introduces comprehensive GSM calculations with continuum coupling based on the CD-Bonn potential for calcium isotopes, predicting new resonant states and shell evolution details.

Findings

Predicts $^{57}$Ca as the heaviest bound odd isotope.

Identifies $^{70}$Ca as the neutron dripline nucleus.

Supports shell closures at $^{52}$Ca and $^{54}$Ca, weakens at $^{60}$Ca.

Abstract

Based on the realistic nuclear force of the high-precision CD-Bonn potential, we have performed comprehensive calculations for neutron-rich calcium isotopes using the Gamow shell model (GSM) which includes resonance and continuum. The realistic GSM calculations produce well binding energies, one- and two-neutron separation energies, predicting that $^{57}$Ca is the heaviest bound odd isotope and $^{70}$Ca is the dripline nucleus. Resonant states are predicted, which provides useful information for future experiments on particle emissions in neutron-rich calcium isotopes. Shell evolutions in the calcium chain around neutron numbers \textit{N} = 32, 34 and 40 are understood by calculating effective single-particle energies, the excitation energies of the first $2^+$ states and two-neutron separation energies. The calculations support shell closures at $^{52}$Ca (\textit{N} = 32) and $^{54}$Ca (\textit{N} = 34) but show a weakening of shell closure at $^{60}$Ca (\textit{N} = 40). The possible shell closure at $^{70}$Ca (\textit{N} = 50) is predicted.