Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations

Abstract

We discuss shape coexistence in the neutron-deficient Kr72-Kr78 isotopes in the framework of configuration mixing calculations of particle-number and angular-momentum projected axial mean-field states obtained from self-consistent calculations with the Skyrme interaction SLy6 and a density-dependent pairing interaction. While our calculation reproduces qualitatively and quantitatively many of the global features of these nuclei, such as coexistence of prolate and oblate shapes, their strong mixing at low angular momentum, and the deformation of collective bands, the ordering of our calculated low-lying levels is at variance with experiment. We analyse the role of the single-particle spectrum of the underlying mean-field for the spectrum of collective excitations.

arXiv commentaccepted for publication in Phys. Rev. C

References in corpus (9)

• Global study of quadrupole correlation effects
• Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes
• Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Ground state properties of exotic nuclei near Z=40 in the relativistic mean-field theory,
• Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of S32, Ar36, Ar38 and Ca40
• Shape Coexistence in Pb186: Beyond-mean-field description by configuration mixing of symmetry restored wave functions
• Shape Coexistence in the Relativistic Hartree-Bogoliubov approach
• Microscopic models for exotic nuclei

Cited by in corpus (48)

• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• 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 Restoration within the Energy Density Functional Formalism
• Tensor part of the Skyrme energy density functional. II: Deformation properties of magic and semi-magic nuclei
• Symmetry restoration in mean-field approaches
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Nilsson-SU3 selfconsistency in heavy N=Z nuclei
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• Systematics of low-lying states of even-even nuclei in the neutron-deficient lead region from a beyond-mean-field calculation
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• Rotating deformed halo nuclei and shape decoupling effects
• Microscopic description of oblate-prolate shape mixing in proton-rich Se isotopes
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Stellar weak decay rates in neutron-deficient medium-mass nuclei
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• Shape coexistence in even-even nuclei: A theoretical overview
• Shape mixing and beta-decay properties of neutron-deficient Kr and Sr isotopes
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Coulomb shifts and shape changes in the mass 70 region
• 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
• Bohr Hamiltonian with an energy dependent $\gamma$-unstable Coulomb-like potential
• Signatures for shape coexistence and shape/phase transitions in even-even nuclei
• Structure of krypton isotopes within the interacting boson model derived from the Gogny energy density functional
• High-spin transition quadrupole moments in neutron-rich Mo and Ru nuclei: testing $\gamma$ softness?
• Shape coexistence revealed in the $N=Z$ isotope ${}^{72}$Kr through inelastic scattering
• Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr
• Nuclear structure and reaction studies at SPIRAL
• Microscopic description of rotation: From ground states to the extremes of ultra-high spin
• First Evidence of Axial Shape Asymmetry and Configuration Coexistence in ${}^{74}$Zn: Suggestion for a Northern Extension of the $N=40$ Island of Inversion
• Hexadecapole strength in the rare isotopes ${}^{74,76}$Kr
• Shape evolutions of ${}^{72,74}$Kr with temperature in the covariant density functional theory
• Pairing correlations beyond the mean field
• Shape coexistence and evolution in neutron-deficient krypton isotopes
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Prolate-to-oblate transition and backbending along the yrast line induced by quasiparticle alignment
• Properties of superheavy isotopes Z=120 and isotones N=184 within the Skyrme-HFB model
• Proton removal from ${}^{73,75}$Br to ${}^{72,74}$Se at intermediate energies
• Low-lying states in ${}^{30}$Mg: a beyond relativistic mean-field investigation
• Skyrme pseudopotentials at next-to-next-to-leading order Construction of local densities and first symmetry-breaking calculations