Multipole modes of excitation in triaxially deformed superfluid nuclei

Abstract

The five-dimensional quadrupole collective model based on energy density functionals (EDF) has often been employed to treat long-range correlations associated with shape fluctuations in nuclei. Our goal is to derive the collective inertial functions in the collective Hamiltonian by the local quasiparticle random phase approximation (QRPA) that correctly takes into account time-odd mean-field effects. Currently, practical framework to perform the QRPA calculation with the modern EDFs on the $(\beta ,\gamma )$ deformation space is not available. Toward this goal, we develop an efficient numerical method to perform the QRPA calculation on the $(\beta ,\gamma )$ deformation space based on the Skyrme EDF. We use the finite amplitude method (FAM) for efficient calculation of QRPA strength functions for multipole external fields. We construct a computational code of FAM-QRPA in the three-dimensional Cartesian coordinate space to handle triaxially deformed superfluid nuclei. We validate our new code by comparing our results with former QRPA calculations for axially symmetric nuclei. Isoscalar quadrupole strength functions in triaxial superfluid nuclei, ${}^{110}$Ru and ${}^{190}$Pt, are obtained within a reasonable computational cost. QRPA calculations for triaxially deformed superfluid nuclei based on the Skyrme EDF are achieved with the help of FAM. This is an important step toward the microscopic calculation of collective inertial functions of the local QRPA.

arXiv comment6 pages, 4 figures, 1 table

References in corpus (48)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Time-dependent density-functional description of nuclear dynamics
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Particle number projection with effective forces
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Finite amplitude method for the RPA solution
• Particle-Number Projection and the Density Functional Theory
• Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Superdeformed rotational bands in the Mercury region; A Cranked Skyrme-Hartree-Fock-Bogoliubov study
• Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
• Finite amplitude method for the quasi-particle-random-phase approximation
• Global description of beta-minus decay in even-even nuclei with the axially-deformed Skyrme finite amplitude method
• Broyden's Method in Nuclear Structure Calculations
• Emergence of pygmy dipole resonances: Magic numbers and neutron skins
• Self-consistent calculation of nuclear photoabsorption cross section: Finite amplitude method with Skyrme functionals in the three-dimensional real space
• Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional
• Multipole strength function of deformed superfluid nuclei made easy
• Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Finite Amplitude Method for Charge-Changing Transitions in Axially-Deformed Nuclei
• Low energy collective modes of deformed superfluid nuclei within the finite amplitude method
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• 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
• Adiabatic Selfconsistent Collective Coordinate Method for Large Amplitude Collective Motion in Superconducting Nuclei
• Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation
• Systematic investigation of low-lying dipole modes using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid spherical nuclei
• Feasibility of the finite amplitude method in covariant density functional theory
• Shape fluctuations in the ground and excited 0+ states of 30Mg and 32Mg
• Finite amplitude method applied to giant dipole resonance in heavy rare-earth nuclei
• Multipole modes in deformed nuclei within the finite amplitude method
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Efficient calculation for the quasiparticle random-phase approximation matrix
• Shape changes and large-amplitude collective dynamics in neutron-rich Cr isotopes
• Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Low-energy E1 strength in select nuclei: Possible constraints on the neutron skins and the symmetry energy
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes
• Complex-energy approach to sum rules within nuclear density functional theory
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Self-consistent collective coordinate for reaction path and inertial mass
• Adiabatic self-consistent collective path in nuclear fusion reactions

Cited by in corpus (8)

• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Finite-amplitude method for collective inertia in spontaneous fission
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Triaxiality induced monopole-quadrupole-hexadecupole coupling in the isoscalar giant resonances for ${}^{86}\text{Ge}$
• Multipole Modes for Triaxially Deformed Superfluid Nuclei
• Five-dimensional collective Hamiltonian with improved inertial functions
• Evolution of giant monopole resonance with triaxial deformation
• Thouless-Valatin moment of inertia and removal of the spurious mode in the linear response theory