Covariant density functional analysis of shape evolution in $N=40$ isotones

Abstract

The structure of low-lying excitation states of even-even $N=40$ isotones is studied using a five-dimensional collective Hamiltonian with the collective parameters determined from the relativistic mean-field plus BCS method with the PC-PK1 functional in the particle-hole channel and a separable paring force in the particle-particle channel. The theoretical calculations can reproduce not only the systematics of the low-lying states along the isotonic chain but also the detailed structure of the spectroscopy in a single nucleus. We find a picture of spherical-oblate-prolate shape transition along the isotonic chain of $N=40$ by analyzing the potential energy surfaces. The coexistence of low-lying excited $0^{+}$ states has also been shown to be a common feature in neutron-deficient $N=40$ isotones.

arXiv comment13 pages, 11 figures

References in corpus (32)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear magic numbers: new features far from stability
• 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
• A finite range pairing force for density functional theory in superfluid nuclei
• Density-Dependent Relativistic Hartree-Fock Approach
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Shapes and beta decay in proton rich Ge, Se, Kr and Sr isotopes
• Three-dimensional angular momentum projection in relativistic mean-field theory
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Beta decay and shape isomerism in 74Kr
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Evidence for a change in the nuclear mass surface with the discovery of the most neutron-rich nuclei with 17<Z <25
• Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
• Spin-isospin excitations and beta+/EC half-lives of medium-mass deformed nuclei
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at N\approx60
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Beta-decay in odd-A and even-even proton-rich Kr isotopes
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
• Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in ${}^{24}$Mg
• The Axial-Vector Current in Nuclear Many-Body Physics

Cited by in corpus (14)

• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Global analysis of quadrupole shape invariants based on covariant energy density functionals
• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
• Global prediction of nuclear charge density distributions using deep neural network
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Tidal wave in ${}^{102}$Pd: An extended five-dimensional collective Hamiltonian description
• Behaviour of pf shell under RMF+BCS Description
• Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
• Ground State Properties of Neutron Magic Nuclei
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Study of \b{eta}-Decay, log ft Values and Nuclear Structure Properties of Neutron-rich Ge Nuclei
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line