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.

36 pages, 18 figures

References in corpus (13)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Accurate nuclear radii and binding energies from a chiral interaction
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Equation of state and thickness of the inner crust of neutron stars
• 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
• Detecting bubbles in exotic nuclei
• Dispelling the curse of the neutron skin in atomic parity violation
• Charge radius of the short-lived ${}^{68}$Ni and correlation with the dipole polarizability
• Nuclear symmetry energy and neutron skin thickness

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