Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional

Abstract

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for the isovector dipole and the isoscalar quadrupole modes in the spherical ${}^{20}$O and in the deformed ${}^{26}$Ne nuclei, and the effect of the momentum dependent terms of the Skyrme effective interaction for the energy-weighted sum rule is discussed. As a further application, we present for the first time the moments of inertia of ${}^{34}$Mg and ${}^{36}$Mg using the Thouless-Valatin procedure based on the self-consistent deformed QRPA, and show the applicability of our new calculation scheme not only for the vibrational modes but also for the rotational modes in neutron-rich nuclei.

11 pages, 13 figures and 2 tables. Submitted to PRC

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Cited by in corpus (44)

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• Low-energy isovector and isoscalar dipole response in neutron-rich nuclei
• State-of-the-art of beyond mean field theories with nuclear density functionals
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• Self-consistent Skyrme QRPA for use in axially-symmetric nuclei of arbitrary mass
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Shape evolution of giant resonances in Nd and Sm isotopes
• Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation
• Feasibility of the finite amplitude method in covariant density functional theory
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
• Linear response strength functions with iterative Arnoldi diagonalization
• Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction
• Spin-isospin response of deformed neutron-rich nuclei in a self-consistent Skyrme energy-density-functional approach
• Shape changes and large-amplitude collective dynamics in neutron-rich Cr isotopes
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Dipole response in 208Pb within a self-consistent multiphonon approach
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Triaxial quadrupole deformation dynamics in sd-shell nuclei around 26Mg
• Pygmy dipole mode in deformed neutron-rich Mg isotopes close to the drip line
• Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes
• Structure and decay of the pygmy dipole resonance in 26Ne
• The quest for novel modes of excitation in exotic nuclei
• Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes
• Current Developments in Nuclear Density Functional Methods
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Skyrme-QRPA calculations for low-lying excitation modes in deformed neutron-rich nuclei
• Fragmentation of electric dipole strength in N=82 isotones
• Low-energy cluster vibrations in N = Z nuclei
• Skyrme Random-Phase-Approximation description of lowest $K^{\pi }=2_{\gamma }^{+}$ states in axially deformed nuclei
• Individual dipole toroidal states: main features and search in (e,e') reaction
• Open problems in nuclear structure near drip lines
• Energy-weighted sum rule for nuclear density functional theory
• Charge-exchange dipole excitations in deformed nuclei
• Pairing and nonaxial-shape correlations in $N=150$ isotones
• Isovector spin susceptibility: Isotopic evolution of collectivity in spin response
• Enhanced collectivity of gamma vibration in neutron-rich Dy isotopes with N=108 - 110
• Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line
• Comparative study of the requantization of the time-dependent mean field for the dynamics of nuclear pairing
• A new renormalization procedure of the quasiparticle random phase approximation
• Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry