Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional

Abstract

The structure of even-even neutron-rich Ru, Mo, Zr and Sr nuclei in the $A\approx 100$ mass region is studied within the interacting boson model (IBM) with microscopic input from the self-consistent mean-field approximation based on the Gogny-D1M energy density functional. The deformation energy surface in the quadrupole deformation space $(\beta ,\gamma )$, computed within the constrained Hartree-Fock-Bogoliubov framework, is mapped onto the expectation value of the appropriately chosen IBM Hamiltonian with configuration mixing in the boson condensate state. The mapped IBM Hamiltonian is used to study the spectroscopic properties of ${}^{98-114}$Ru, ${}^{96-112}$Mo, ${}^{94-110}$Zr and ${}^{92-108}$Sr. Several cases of $\gamma$-soft behavior are predicted in Ru and Mo nuclei while a pronounced coexistence between strongly-prolate and weakly-oblate deformed shapes is found for Zr and Sr nuclei. The method describes well the evolution of experimental yrast and non-yrast states as well as selected $B$(E2) transition probabilities.

20 pages, 23 figures, 1 table; To be published in Phys. Rev. C

References in corpus (8)

• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
• Triaxiality in the interacting boson model
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• Ground state octupole correlation energies with effective forces

Cited by in corpus (29)

• Intertwined Quantum Phase Transitions in the Zr Isotopes
• Evidence for coexisting shapes in ${}^{98}$Zr through lifetime measurements
• Shape coexistence in even-even nuclei: A theoretical overview
• Zr Isotopes as a region of intertwined quantum phase transitions
• The subtle connection between shape coexistence and quantum phase transition. The Zr case
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• 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
• Shape coexistence in Sr isotopes
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei
• Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei
• Low-energy structure and $\beta$ decay properties of neutron-rich nuclei in the region of a shape phase transition
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Effects of pairing strength on the nuclear structure and double-$\beta$ decay predictions within the mapped interacting boson model
• Quadrupole-hexadecapole correlations in neutron-rich samarium and gadolinium isotopes
• Mapped interacting boson model for nuclear structure studies
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional
• Simultaneous description of $\beta$ decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei
• Enlarged deformation region in neutron-rich Zr isotopes by the second intruder orbit
• Shape evolution in even-mass ${}^{98-104}$Zr isotopes via lifetime measurements using the $\gamma \gamma$-coincidence technique
• Parameter dependence of the $\beta$-decay properties of neutron-rich Zr isotopes within the interacting boson model
• Ground-state and decay properties of neutron-rich 106Nb
• Weakening of $N=28$ shell gap and the nature of $0_2^{+}$ states
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Effects of shape coexistence and configuration mixing on low-lying states in tellurium isotopes
• Intertwined quantum phase transitions in odd-mass Nb isotopes
• Fingerprints of triaxiality in the charge radii of neutron-rich Ruthenium
• Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems