Microscopic study of the Shell Structure evolution in isotopes of light to middle mass range Nuclides

Abstract

The shell structure of even-even isotopes in Si, S, Ar and Ca has been analysed. The theoretical calculations of shell closure parameter $D_n(N)$ and the differential variation of the two-neutron separation energy $d{S}_{2n}(Z,N)$ are carried out within the framework of Hartree-Fock-Bogoliubov theory. Calculations are carried out for different skyrme forces and their sensitivity has been tested. Same nuclides are studied by employing the relativistic mean field aproach based on meson exchange and point coupling models. Theoretically calculated estimates are in good agreement with the recently available experimental data which fortifies signature of shell closure at N = 14 and 20 in case of Si, N = 14, 20 and 28 in S and N=20 and 28 in Ar and Ca isotopes.

References in corpus (44)

• 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
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Nuclear Energy Density Optimization
• Nuclear energy density optimization: Large deformations
• A finite range pairing force for density functional theory in superfluid nuclei
• Collapse of the N=28 shell closure in ${}^{42}$Si
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Evolution of shell structure in neutron-rich calcium isotopes
• Neutron halo in deformed nuclei
• Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Microscopic justification of the Equal Filling approximation
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory
• Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei
• Deformation of Nuclei Close to the Two-Neutron Drip Line in Mg Region
• Probing the N = 32 shell closure below the magic proton number Z = 20: Mass measurements of the exotic isotopes 52,53K
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Prolate-Spherical Shape Coexistence at N=28 in ${}^{44}$S
• 3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction
• Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): a new version of the program
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• The relativistic continuum Hartree-Bogoliubov description of charge-changing cross section for C,N,O and F isotopes
• The structural evolution in transitional nuclei of mass 80 $\le$ A $\le$ 132
• Evolution of the N=28 shell closure: a test bench for nuclear forces
• The surface properties of neutron-rich exotic nuclei within relativistic mean field formalisms
• $\beta$ Decay and Isomeric Properties of Neutron-Rich Ca and Sc Isotopes
• Measurement of excited states in 40Si and evidence for weakening of the N=28 shell gap
• Proton and neutron skins of light nuclei within the Relativistic Mean Field theory
• In-beam gamma-ray spectroscopy of very neutron-rich nuclei: Excited states in 46S and 48Ar
• Hartree-Fock-Bogoliubov calculation of ground state properties of even-even and odd Mo and Ru isotopes
• Is the structure of 42Si understood?
• The Nuclear Pairing Gap -- How Low Can It Go?
• Magicity of the ${}^{52}$Ca and ${}^{54}$Ca isotopes and tensor contribution within a mean--field approach
• A Study of Charge Radii and Neutron Skin Thickness near Nuclear Drip Lines
• Evolution of single-particle structure of silicon isotopes
• Low-lying 2${}^{+}$ states generated by $pn$-quadrupole correlation and $N=28$ shell quenching
• A systematic study of neutron magic nuclei with N = 8, 20, 28, 50, 82, and 126 in the relativistic mean field theory
• A Study on Shape of Te Isotopes in Mean Field Formalism
• Investigation of ground-state properties of even-even and odd Pb isotopes within Hartree-Fock-Bogoliubov theory

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