Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn

Abstract

We propose a self-consistent quasi-particle random phase approximation (QRPA) plus quasi-particle-vibration coupling (QPVC) model with Skyrme interactions to describe the width and the line shape of giant resonances in open-shell nuclei, in which the effect of superfluidity should be taken into account in both the ground state and the excited states. We apply the new model to the Gamow-Teller resonance in the superfluid nucleus ${}^{120}$Sn, including both the isoscalar spin-triplet and the isovector spin-singlet pairing interactions. The strength distribution in ${}^{120}$Sn is well reproduced and the underlying microscopic mechanisms, related to QPVC and also to isoscalar pairing, are analyzed in detail.

32 pages, 11 figures, 4 tables

References in corpus (14)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Theory of Core-Collapse Supernovae
• Exotic modes of excitation in atomic nuclei far from stability
• A new Skyrme interaction with improved spin-isospin properties
• Relativistic quasiparticle time blocking approximation. Dipole response of open-shell nuclei
• Particle-vibration coupling effect on the $\beta$-decay of magic nuclei
• Stellar electron-capture rates calculated with the finite-temperature relativistic random-phase approximation
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Gamow-Teller response and its spreading mechanism in doubly magic nuclei
• Fragmentation of spin-dipole strength in ${}^{90}$Zr and ${}^{208}$Pb
• Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence