Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals

Abstract

The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing vibrations and the coupling between shape and pairing degrees of freedom. The parameters of the collective Hamiltonian are determined by constrained self-consistent relativistic mean-field plus Bardeen-Cooper-Schrieffer (RMF+BCS) calculations in the space of intrinsic shape and pairing deformations. The effect of coupling between shape and pairing degrees of freedom is analyzed in a study of low-energy spectra and transition rates of four axially symmetric $N=92$ rare-earth isotones. When compared to results obtained with the standard quadrupole collective Hamiltonian, the inclusion of dynamical pairing increases the moment of inertia, lowers the energies of excited $0^{+}$ states and reduces the E0-transition strengths, in better agreement with data.

arXiv comment10 pages, 13 figures, submitted to Physical Review C

References in corpus (48)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• The Skyrme Interaction in finite nuclei and nuclear matter
• A finite range pairing force for density functional theory in superfluid nuclei
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Shape and pairing fluctuations effects on neutrinoless double beta decay nuclear matrix elements
• Antimagnetic Rotation Band in Nuclei: A Microscopic Description
• Novel structure for magnetic rotation bands in 60Ni
• $\beta$-decay half-lives of neutron-rich nuclei and matter flow in the $r$-process
• Quadrupole collective states within the Bohr collective Hamiltonian
• 3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Covariant density functional theory for antimagnetic rotation
• Pairing-induced speedup of nuclear spontaneous fission
• Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
• Multidimensionally-constrained relativistic mean-field study of spontaneous fission: coupling between shape and pairing degrees of freedom
• Dynamic versus static fission paths with realistic interactions
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at N\approx60
• Microscopic study of induced fission dynamics of ${}^{226}$Th with covariant energy density functionals
• Systematics of the first 2+ excitation with the Gogny interaction
• Simultaneous quadrupole and octupole shape phase transitions in Thorium
• Collective quadrupole excitations in the 50<Z,N<82 nuclei with the generalized Bohr Hamiltonian
• Energy Density Functional analysis of shape evolution in N=28 isotones
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Influence of nuclear physics inputs and astrophysical conditions on Th/U chronometer
• Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
• Coexistence of nuclear shapes: self-consistent mean-field and beyond
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• Nuclear ${\beta }^{+}$/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing
• Anomalous pairing vibration in neutron-rich Sn isotopes beyond the N=82 magic number
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Constraining the nuclear pairing gap with pairing vibrations
• The low-lying quadrupole collective excitations of Ru and Pd isotopes
• Large amplitude pairing fluctuations in atomic nuclei
• Least action description of spontaneous fission in fermium and nobelium nuclei based on the Gogny energy density functional
• Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional
• Shape evolution and coexistence in neutron-deficient Nd and Sm nuclei
• Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation
• Total and Differential Cross Sections for the pp-->pp eta-prime Reaction Near Threshold
• delta-pairing forces and collective pairing vibrations
• q-deformed pairing-vibrations
• Collective Quadrupole Excitations in Transitional Nuclei

Cited by in corpus (12)

• Finite-amplitude method for collective inertia in spontaneous fission
• Pairing vibrations in the interacting boson model based on density functional theory
• Shape and multiple shape coexistence of nuclei within covariant density functional theory
• Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei
• Coupling of pairing and triaxial shape vibrations in collective states of $\gamma$-soft nuclei
• Impact of isovector pairing fluctuation on neutrinoless double-beta decay in multi-reference covariant density functional theory
• Mapped interacting boson model for nuclear structure studies
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional
• Two-neutron transfer reactions as a tool to study the interplay between shape coexistence and quantum phase transitions
• Octupole correlation effects on two-neutron transfer intensity in rare-earth nuclei
• Octupole correlations in the excited $0^{+}$ states and two-neutron transfers in actinide nuclei