An {\it ab-initio} Gamow shell model approach with a core

Abstract

Gamow shell model (GSM) is usually performed within the Woods-Saxon (WS) basis in which the WS parameters need to be determined by fitting experimental single-particle energies including their resonance widths. In the multi-shell case, such a fit is difficult due to the lack of experimental data of cross-shell single-particle energies and widths. In this paper, we develop an {\it ab-initio} GSM by introducing the Gamow Hartree-Fock (GHF) basis that is obtained using the same interaction as the one used in the construction of the shell-model Hamiltonian. GSM makes use of the complex-momentum Berggren representation, then including resonance and continuum components. Hence, GSM gives a good description of weakly bound and unbound nuclei. Starting from chiral effective field theory and employing many-body perturbation theory (MBPT) (called nondegenerate $\hat{Q}$-box folded-diagram renormalization) in the GHF basis, a multi-shell Hamiltonian ({\it sd-pf} shells in this work) can be constructed. The single-particle energies and their resonance widths can also been obtained using MBPT. We investigated ${}^{23-28}$O and ${}^{23-31}$F isotopes, for which multi-shell calculations are necessary. Calculations show that continuum effects and the inclusion of the {\it pf} shell are important elements to understand the structure of nuclei close to and beyond driplines.

Accept by Physics Letters B

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Cited by in corpus (14)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• The roles of three-nucleon force and continuum coupling in mirror symmetry breaking of oxygen mass region
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Deformed in-medium similarity renormalization group
• Recent progress in configuration-interaction 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
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• Complex-energy eigenvector continuation for nuclear many-body broad resonances
• Neutron-pair structure in the continuum spectrum of ${}^{26}$O
• Structure evolution of ground and excited states in the exotic nucleus ${}^{22}$Al