A study of nuclear radii and neutron skin thickness of neutron-rich nuclei near the neutron drip line

Abstract

We studied the charge radius ($r_c$), neutron radius ($r_n$), and neutron skin-thickness ($\Delta r=r_n-r_p$) over a chain of isotopes from C to Zr with the stable region to the neutron drip line. Theoretical calculations are done with axially deformed self-consistent relativistic mean-field theory (RMF) with effective nonlinear NL3 and NL3* interactions. The theoretically estimated values are compared with available experimental data and a reasonable agreement are noted. We additionally assessed the two-neutron separation energy ($S_{2n}$) to mark the drip line nuclei of the considered isotopic series. In the reference of $S_{2n}$, neutron magicity is also discussed. The calculated neutron radii are compared with empirical estimation made by $r=r_0{N}^{1/3}$ to examine the abnormal trend of the radius for neutron drip line nuclei. In view to guide the long tails, the density distribution for some skin candidates is analyzed. Finally, neutron skin thickness is observed for the whole considered isotopic series.

arXiv comment36 pages, 18 figures

References in corpus (46)

• 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
• Isospin Asymmetry in Nuclei and Neutron Stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Accurate nuclear radii and binding energies from a chiral interaction
• Neutron Radii in Mean-Field Models
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• The effective force NL3 revisited
• Charge, neutron, and weak size of the atomic nucleus
• A Giant Halo at the Neutron Drip Line
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Low Mass Neutron Stars and the Equation of State of Dense Matter
• 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
• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
• Equation of state and thickness of the inner crust of neutron stars
• Neutron skins of atomic nuclei: per aspera ad astra
• Discerning the neutron density distribution of 208Pb from nucleon elastic scattering
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Exploring the extended density-dependent Skyrme effective forces for normal and isospin-rich nuclei to neutron stars
• Shell Effects in Nuclei Near Neutron Drip
• Detecting bubbles in exotic nuclei
• Superheavy nuclei in relativistic effective Lagrangian model
• Dispelling the curse of the neutron skin in atomic parity violation
• Density dependencies of interaction strengths and their influence on nuclear matter and neutron star in relativistic mean field theory
• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Neutron skins of ${}^{208}$Pb and ${}^{48}$Ca from pionic probes
• The neutron skin thickness of ${}^{48}$Ca from a nonlocal-dispersive-optical-model analysis
• Charge radius of the short-lived ${}^{68}$Ni and correlation with the dipole polarizability
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Ground-state properties and spins of the odd {\boldmath$Z=N+1$} nuclei {\boldmath${}^{61}$}Ga{\boldmath$-$}{\boldmath${}^{97}$}In}
• Model dependence of the neutron-skin thickness on the symmetry energy
• Description of Drip-Line Nuclei within Relativistic Mean-Field Plus BCS Approach
• Pairing-induced localization of the particle continuum in weakly bound nuclei
• Proton drip-line nuclei in relativistic mean-field theory
• Particles in classically forbidden area, neutron skin and halo, and pure neutron matter in Ca isotopes
• Ground state properties and bubble structure of superheavy nuclei
• A Study of Charge Radii and Neutron Skin Thickness near Nuclear Drip Lines
• Nuclear symmetry energy and neutron skin thickness
• The role of the elemental nature of A=3 nuclei in neutron-rich nuclei

Cited by in corpus (2)

• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory