Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach

Abstract

The ground-state properties and shape evolution of even-even hafnium isotopes ranging from $N=80$ to the neutron dripline are thoroughly examined using Covariant Density Functional Theory (CDFT) with density-dependent effective interactions, specifically the parameter sets DD-ME1, DD-ME2, DD-PC1, and DD-PCX. Key nuclear properties, including binding energies, two-neutron separation energies ($S_{2n}$), two-neutron shell gaps ($\delta S_{2n}$), neutron pairing energies ($E_{pair,n}$), quadrupole deformation parameters (${\beta }_2$), root-mean-square (RMS) charge and matter radii, and neutron skin thickness ($\Delta r_{np}$), are systematically computed and compared with available experimental results and predictions from various theoretical models. These include the Hartree-Fock-Bogoliubov (HFB) framework employing the Skyrme SLy4 interaction, the Finite Range Droplet Model (FRDM), the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) using the PC-PK1 functional, and the relativistic mean-field (RMF) approach with NL3 parameterization. Shell closures at $N=82$ and $N=126$, subshell effects at $N=108$ and $N=152$, and shape transitions with coexistence in ${}^{192}$Hf and ${}^{222-236}$Hf are observed. Neutron skin thickness increases with neutron excess, and potential energy surfaces show consistent trends, validating CDFT's reliability for nuclear structure predictions.

arXiv comment22 pages, 10 figures

References in corpus (58)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Nuclear ground-state masses and deformations: FRDM(2012)
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Neutron Star Structure and the Neutron Radius of 208Pb
• Recent Progress in Quantum Hadrodynamics
• Neutron-Rich Nuclei in Heaven and Earth
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Charge, neutron, and weak size of the atomic nucleus
• A finite range pairing force for density functional theory in superfluid nuclei
• Systematic study of deformed nuclei at the drip lines and beyond
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Density dependent hadron field theory for asymmetric nuclear matter and exotic nuclei
• The neutron radii of Lead and neutron stars
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
• Towards an ab initio covariant density functional for nuclear structure
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Relativistic Point-Coupling Models as Effective Theories of Nuclei
• Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Pairing Properties In Relativistic Mean Field Models Obtained From Effective Field Theory
• Mean field study of structural changes in Pt isotopes with the Gogny interaction
• Relativistic Random-Phase Approximation with density-dependent meson-nucleon couplings
• Exploring the extended density-dependent Skyrme effective forces for normal and isospin-rich nuclei to neutron stars
• Nuclear mass table in deformed relativistic Hartree-Bogoliubov theory in continuum, II: Even-$Z$ nuclei
• Covariant energy density functionals: nuclear matter constraints and global ground state properties
• Collective structural evolution in neutron-rich Yb, Hf, W, Os and Pt isotopes
• Hadrons and Nuclei
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
• Superheavy nuclei in relativistic effective Lagrangian model
• A Separable Pairing Force for Relativistic Quasiparticle Random Phase Approximation
• Assessing theoretical uncertainties in fission barriers of superheavy nuclei
• Neutron shell structure and deformation in neutron-drip-line nuclei
• Shape evolution and shape coexistence in Pt isotopes: comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces
• Spectroscopic calculations of the low-lying structure in exotic Os and W isotopes
• A further look at prolate dominance in nuclear deformation
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Shape coexistence in even-even nuclei: A theoretical overview
• Toward a bridge between relativistic and nonrelativistic density functional theories for nuclei
• Bubble nuclei with shape coexistence in even-even isotopes of Hf to Hg
• Additivity of effective quadrupole moments and angular momentum alignments in the A~130 nuclei
• Covariant Density Functional Theory with Localized Exchange Terms
• Deformation and its influence on $K$ isomerism in neutron-rich Hf nuclei
• Band terminations in density functional theory
• Nuclear structure and decay properties of even-even nuclei in $Z=70-80$ drip-line region
• New supersymmetric quartet of nuclei in the A=190 mass region
• A study of nuclear radii and neutron skin thickness of neutron-rich nuclei near the neutron drip line
• The role of the elemental nature of A=3 nuclei in neutron-rich nuclei
• Microscopic Investigation of Ground State Properties and Shape Evolution in Osmium Isotopes

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