Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional

Abstract

We present a method based on mean-field states generated by triaxial quadrupole constraints which are projected on particle number and angular momentum and mixed by the generator coordinate method on the quadrupole moment. This method is equivalent to a seven-dimensional GCM calculation, mixing all five degrees of freedom of the quadrupole operator and the gauge angles for protons and neutrons. A first application to Mg24 permits to analyze in detail the effects of triaxial deformations and of K-mixing.

Discussion of difficulties with pathological energy kernels shortened, conclusions and outlook expanded. Accepted for publication in Phys. Rev. C

References in corpus (21)

• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• Global study of quadrupole correlation effects
• Particle number projection with effective forces
• Particle-Number Projection and the Density Functional Theory
• Superdeformed rotational bands in the Mercury region; A Cranked Skyrme-Hartree-Fock-Bogoliubov study
• Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes
• Configuration mixing of mean-field wave-functions projected on angular momentum and particle number; application to 24Mg
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of S32, Ar36, Ar38 and Ca40
• Systematics of quadrupolar correlation energies
• Description of quadrupole collectivity in N ~ 20 nuclei with techniques beyond the mean field
• Point symmetries in the Hartree-Fock approach: Densities, shapes and currents
• Triaxiality and shape coexistence in Germanium isotopes
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• GCM Analysis of the collective properties of lead isotopes with exact projection on particle numbers
• Point symmetries in the Hartree-Fock approach: Symmetry-breaking schemes
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
• Quadrupole Collective States in a Large Single-J Shell
• Generator Coordinate Truncations
• Pairing correlations beyond the mean field

Cited by in corpus (119)

• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• 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
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Open Problems in Understanding the Nuclear Chirality
• The sign of the overlap of HFB wave functions
• Symmetry restoration in mean-field approaches
• Quadrupole collective states within the Bohr collective Hamiltonian
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Three-dimensional angular momentum projection in relativistic mean-field theory
• Deformation of Lambda hypernuclei
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Mean field study of structural changes in Pt isotopes with the Gogny interaction
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Systematics of low-lying states of even-even nuclei in the neutron-deficient lead region from a beyond-mean-field calculation
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Microscopic and non-adiabatic Schrödinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states
• Energy Density Functional analysis of shape evolution in N=28 isotones
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Robust Regularity in γ-Soft Nuclei and its Microscopic Realization
• Symmetry conserving configuration mixing method with cranked states
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Collective structural evolution in neutron-rich Yb, Hf, W, Os and Pt isotopes
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Collective and Single-particle Motion in Beyond Mean Field Approaches
• Rotating deformed halo nuclei and shape decoupling effects
• The quest of shape coexistence in Zr isotopes
• Coexistence of nuclear shapes: self-consistent mean-field and beyond
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape
• Beyond relativistic mean-field approach for nuclear octupole excitations
• Beyond-mean-field study of the possible "bubble" structure of 34Si
• Does a proton "bubble" structure exist in the low-lying states of 34Si?
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• Configuration mixing description of the nucleus ${}^{44}$S
• Impurity effect of Lambda hyperon on collective excitations of atomic nuclei
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Evaluation of overlaps between arbitrary Fermionic quasiparticle vacua
• Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• New parameterization of Skyrme's interaction for regularized multi-reference energy density functional calculations
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Second random-phase approximation with the Gogny force. First applications
• Open problems in microscopic theory of large-amplitude collective motion
• Effective theory for deformed nuclei
• Modification of triaxial deformation and change of spectrum in ${}_{\Lambda }^{25}$Mg caused by $\Lambda$ hyperon
• Variation after full projection with triaxially deformed nuclear mean field
• The shape of gold
• Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay
• Configuration interaction in symmetry-conserving covariant density functional theory
• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• Individual low-energy toroidal dipole state in ${}^{24}$Mg
• Large amplitude pairing fluctuations in atomic nuclei
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Triaxial shape fluctuations and quasiparticle excitations in heavy nuclei
• The Low-Energy Quadrupole Mode of Nuclei
• A new and practical formulation for overlaps of Bogoliubov vacua
• Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional
• Triaxial quadrupole deformation dynamics in sd-shell nuclei around 26Mg
• Technical aspects of the evaluation of the overlap of Hartree- Fock- Bogoliubov wave functions
• Symmetry-projected variational calculations with the numerical suite TAURUS I. Variation after particle-number projection
• Quadrupole Collective Dynamics from Energy Density Functionals: Collective Hamiltonian and the Interacting Boson Model
• Evolution of E2 transition strength in deformed hafnium isotopes from new measurements on ${}^{172}$Hf, ${}^{174}$Hf, and ${}^{176}$Hf
• Impact of nuclear shape fluctuations in high-energy heavy ion collisions
• Description of nuclear systems with a self-consistent configuration-mixing approach. I: Theory, algorithm, and application to the ${}^{12}$C test nucleus
• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
• Disappearance of nuclear deformation in hypernuclei: a perspective from a beyond-mean-field study
• Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Current Developments in Nuclear Density Functional Methods
• The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
• Description of the asymmetric to symmetric fission transition in the neutron-deficient Thoriums -- Role of the tensor force
• Variation after projection calculations for high-spin states
• Convergence and efficiency of angular momentum projection for many-body systems
• Nuclear states projected from a pair condensate
• Symmetry Conserving Configuration Mixing description of odd mass nuclei
• Precision mass measurements in the zirconium region pin down the mass surface across the neutron midshell at $N=66$
• Empirical physical formula for potential energy curves of 38-66Ti isotopes by using neural networks
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Nuclear shape coexistence from the perspective of an algebraic many-nucleon version of the Bohr-Mottelson unified model
• Collective excitations of $\Lambda$ hypernuclei
• Generator coordinate method with a conjugate momentum: application to the particle number projection
• Individual dipole toroidal states: main features and search in (e,e') reaction
• Modern applications of covariant density functional theory
• A Pfaffian formulation for matrix elements of three-body operators in multiple quasi-particle configurations
• Nuclear spectra from low-energy interactions
• Eulerian Rotations of Deformed Nuclei for TDDFT Calculations
• Applications of the dynamical generator coordinate method to quadrupole excitations
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• A convenient implementation of the overlap between arbitrary Hartree-Fock-Bogoliubov vacua for projection
• Shell-model Hamiltonian from self-consistent mean-field model: $N=Z$ nuclei
• A Study on Shape of Te Isotopes in Mean Field Formalism
• Many-Body Approximations in the sd-Shell Sandbox
• Symmetry restoration for odd-mass nuclei with a Skyrme energy density functional
• Multipole responses in fissioning nuclei and their uncertainties
• Five-dimensional collective Hamiltonian with improved inertial functions
• Gallagher-Moszkowski splitting in deformed odd-odd nuclei within a microscopic approach
• Fock space representations of Bogolyubov transformations as spin representations
• Subspace-projected multireference covariant density functional theory
• On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes
• Evolution of giant monopole resonance with triaxial deformation
• Analysis of Peierls-Yoccoz rotational energy of nuclei with semi-realistic interaction
• Low-lying states in ${}^{30}$Mg: a beyond relativistic mean-field investigation
• Pairing effects on pure rotational energy of nuclei
• Probing Quadruple Deformation in Transitional Nuclei via Angular Momentum Projection