Spin-isospin response of deformed neutron-rich nuclei in a self-consistent Skyrme energy-density-functional approach

Abstract

We develop a new framework of the self-consistent deformed proton-neutron quasiparticle-random-phase approximation (pnQRPA), formulated in the Hartree-Fock-Bogoliubov (HFB) single-quasiparticle basis. The same Skyrme force is used in both the HFB and pnQRPA calculations except in the proton-neutron particle-particle channel, where an S=1 contact force is employed. Numerical application is performed for Gamow-Teller (GT) strength distributions and $\beta$-decay rates in the deformed neutron-rich Zr isotopes located around the path of the rapid-neutron-capture process nucleosynthesis. It is found that the GT strength distributions are fragmented due to deformation. Furthermore we find that the momentum-dependent terms in the particle-hole residual interaction leads to a stronger collectivity of the GT giant resonance. The T=0 pairing enhances the low-lying strengths cooperatively with the T=1 pairing correlation, which shortens the $\beta$-decay half lives by at most an order of magnitude. The new calculation scheme reproduces well the observed isotopic dependence of the $\beta$-decay half lives of deformed ${}^{100-110}$Zr isotopes.

10 pages including 6 figures and 2 tables. Submitted to PTEP

References in corpus (7)

• Exotic modes of excitation in atomic nuclei far from stability
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Shape evolution of giant resonances in Nd and Sm isotopes
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes
• Deformation effects on the Gamow-Teller strength distributions in the double-beta decay partners 76Ge and 76Se

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