Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism

Abstract

The density-dependent nuclear symmetry energy is directly related to the isospin asymmetry for finite and infinite nuclear systems. It is critical to determine the coefficients of symmetry energy and its related observables as it holds great importance in different areas of nuclear physics, such as analyzing the structure of ground state exotic nuclei and neutron star study. The ground state bulk properties such as nuclear binding energy, quadrupole deformation, two-neutron separation energy, the differential variation of two-neutron separation energy, and root-mean-square charge radius for Scandium (Z = 21), and Titanium (Z = 22) nuclei are calculated. The coherent density fluctuation model is used to estimate the isospin-dependent properties of finite nuclei such as symmetry energy and its surface and volume components from its corresponding value in infinite nuclear matter system. Finally, we correlate the neutron-skin thickness with the coefficient of symmetry energy and its related observables corresponding to these isotopic chains of nuclei. The relativistic mean-field formalism with non-linear NL3 and Relativistic-Hartree-Bogoliubov with density-dependent DD-ME2 interaction parameters are employed in the present analysis. A shape transition is observed from spherical to prolate near N $\ge$ 44 and N $\ge$ 40 for Sc- and Ti- isotopic chain, respectively. Notable signatures of shell and/or sub-shell closures have been found for the magic neutron numbers at N = 20 and 28 for both the isotopic chain using the nuclear bulk and isospin quantities. In addition to these, a few signatures of shell/sub-shell closure are observed near the drip-line region, at N = 34 and 50 by following the surface/isospin dependent observables, namely symmetry energy and its component for both the isotopic chain of odd-A Sc- and even-even Ti- nuclei.

Submitted to Chinese Physics C: 15 pages, 10 figures

References in corpus (30)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Nuclear halo structure and pseudo-spin symmetry
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State
• Low energy graphene edge termination via small diameter nanotube formation
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Superdeformed and Hyperdeformed States in Z=122 Isotopes
• Precision mass measurements of neutron-rich scandium isotopes refine the evolution of $N=32$ and $N=34$ shell closures
• Symmetry and Surface Symmetry Energies in Finite Nuclei
• Masses of neutron-rich ${}^{52-54}$Sc and ${}^{54,56}$Ti nuclides: The $N=32$ subshell closure in scandium
• Density dependent hadronic models and the relation between neutron stars and neutron skin thickness
• Superscaling and Charge-Changing Neutrino Scattering from Nuclei in the $\mathbf{\Delta }$-Region beyond the Relativistic Fermi Gas Model
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Influence of the single-particle structure on the nuclear surface and the neutron skin
• Thermal properties of the nuclear surface
• Neutron Skin and Giant Resonances in Nuclei
• Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model
• Determining the density dependence of the nuclear symmetry energy using heavy-ion reactions

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