# A Study of Charge Radii and Neutron Skin Thickness near Nuclear Drip Lines

## TL;DR

This study uses Hartree-Fock-Bogoliubov theory with Skyrme interactions to analyze charge radii and neutron skin thickness in isotopes near nuclear drip lines, showing good agreement with experimental data.

## Contribution

It provides detailed theoretical calculations of charge radii and neutron skin thickness in various isotopes using advanced energy density functionals, improving understanding of nuclear structure near drip lines.

## Key findings

- Charge radii are minimized at neutron number N=14 for certain isotopes.
- The UNEDF0 functional reasonably reproduces neutron skin thickness data.
- UNEDF1 functional offers improved predictions for lead isotopes.

## Abstract

We studied the charge radius, rms radius and neutron skin thickness $\Delta r_{np}$ in even-even isotopes of Si, S, Ar and Ca and isotones of N =20, 28, 50 and 82. The $\Delta r_{np}$ in doubly-magic $^{48}$Ca, $^{68}$Ni, $^{120,132}$Sn and $^{208}$Pb nuclei has also been calculated. Theoretical calculations are done with the Hartree-Fock-Bogoliubov theory with the effective Skyrme interactions. Calculated theoretical estimates are in good agreement with the recently available experimental data. The charge radii for Si, S, Ar and Ca isotopes is observed to be minimum at neutron number N =14. The theoretically computed results with UNEDF0 model parameterization of functional are reasonably reproducing the experimental data for $\Delta r_{np}$ in $^{48}$Ca, $^{68}$Ni and $^{120,132}$Sn. The energy density functional of UNEDF1 model provides much improved result of $\Delta r_{np}$ for $^{208}$Pb.