Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914039152508928 |
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| author | Rahaman, Usuf |
| author_facet | Rahaman, Usuf |
| contents | 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 ($δS_{2n}$), neutron pairing energies ($E_{pair,n}$), quadrupole deformation parameters ($β_2$), root-mean-square (RMS) charge and matter radii, and neutron skin thickness ($Δr_{np}$), 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12565 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach Rahaman, Usuf Nuclear Theory Nuclear Experiment 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 ($δS_{2n}$), neutron pairing energies ($E_{pair,n}$), quadrupole deformation parameters ($β_2$), root-mean-square (RMS) charge and matter radii, and neutron skin thickness ($Δr_{np}$), 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. |
| title | Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2509.12565 |