Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron

Abstract

Low-frequency $K^{\pi }=0^{+}$ states in deformed neutron-rich nuclei are investigated by means of the quasiparticle-random-phase approximation based on the Hartree-Fock-Bogoliubov formalism in the coordinate space. We have obtained the very strongly collective $K^{\pi }=0^{+}$ modes not only in neutron-rich Mg isotope but also in Cr and Fe isotopes in N=40 region, where the onset of nuclear deformation has been discussed. It is found that the spatially extended structure of neutron quasiparticle wave functions around the Fermi level brings about a striking enhancement of the transition strengths. It is also found that the fluctuation of the pairing field plays an important role in generating coherence among two-quasiparticle excitations of neutron.

9 pages, 7 figures, and 1 table

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• Shape fluctuations in the ground and excited 0+ states of 30Mg and 32Mg
• Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Low-lying dipole resonance in neutron-rich Ne isotopes
• Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
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• Isovector spin susceptibility: Isotopic evolution of collectivity in spin response
• Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line