The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling

Abstract

Although many random-phase approximation (RPA) calculations of the Gamow-Teller (GT) response exist, this is not the case for calculations going beyond the mean-field approximation. We apply a consistent model that includes the coupling of the GT resonance to low-lying vibrations, to nuclei of the $fp$ shell. Among other motivations, our goal is to see if the particle-vibration coupling can redistribute the low-lying GT${}^{+}$ strength that is relevant for electron-capture processes in core-collapse supernova. We conclude that the lowering and fragmentation of that strength are consistent with the experimental findings and validate our model. However, the particle-vibration coupling cannot account for the quenching of the total value of the low-lying strength.

25 pages, 10 figures

References in corpus (6)

• Theory of Core-Collapse Supernovae
• Exotic modes of excitation in atomic nuclei far from stability
• Spin-isospin resonances: A self-consistent covariant description
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Stellar electron-capture rates calculated with the finite-temperature relativistic random-phase approximation
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Cited by in corpus (16)

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• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
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• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
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• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Regularization of zero-range effective interactions in finite nuclei
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• $\beta$-decay half-lives as an indicator of shape-phase transition in neutron-rich Zr isotopes with particle-vibration coupling effect
• Symmetry breaking of Gamow-Teller and magnetic-dipole transitions and its restoration in calcium isotopes
• Recent applications of the subtracted second RPA method