Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model

Abstract

The Gamow shell model has shown to efficiently describe weakly bound and unbound nuclear systems, as internucleon correlations and continuum coupling are both taken into account in this model. In the present work, we study neutron-dripline oxygen isotopes. It is hereby demonstrated that the presence of continuum coupling is important for the description of oxygen isotopes at dripline, and especially to assess the eventual bound or unbound character of ${}^{28}$O. Our results suggest that the ground state of ${}^{28}$O is weakly unbound and is similar to the narrow resonant ${}^{26}$O ground state. Predictions of weakly bound and resonance excited states in ${}^{24\text{-}26}$O are also provided. The asymptotes of the studied many-body states are analyzed via one-body densities, whereby the different radial properties of well bound, loosely bound, resonance states are clearly depicted.

arXiv comment8 pages, 4 figures

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• Nucleon-nucleon correlations in the extreme oxygen isotopes
• Recent progress in configuration-interaction shell model
• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Complex valence-space effective operators for observables: the Gamow-Teller transition
• Investigation of spectroscopic factors of deeply-bound nucleons in drip-line nuclei with the Gamow shell model
• Spectroscopic factors of resonance states with the Gamow shell model
• Mirror Symmetry Breaking Disclosed in the Decay of Three-Proton Emitter 20Al
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow shell model study of the 17Ne(p, p) reaction and of isospin symmetry breaking in 18Na
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti