# Neutron skins of heavy nuclei and tidal deformability of neutron star

## TL;DR

This paper predicts neutron-skin thicknesses of various heavy nuclei using advanced models and compares them with experimental data, while also calculating neutron star tidal deformability and comparing it with gravitational wave observations.

## Contribution

Introduces new relativistic mean-field models G3 and IOPB-I for predicting neutron-skin thickness and tidal deformability, validated against experimental and observational data.

## Key findings

- Neutron-skin thickness predictions align with PREX-II data.
- Calculated tidal deformability consistent with GW170817 observations.
- Models provide improved understanding of nuclear and neutron star properties.

## Abstract

In this paper, I have discussed the numerical predictions for the neutron-skin thickness (NST) of various finite nuclei starting from $^{40}$Ca to $^{238}$U using recently developed effective relativistic mean-field models G3 and IOPB-I \cite{G3, IOPB}. The calculated results are compared with the PREX-II data, and the experiment has been done with antiprotons at CERN. Further, I have also calculated the dimensional tidal deformability of a canonical neutron star 1.4$M_\odot$ and compared it with the recent observation of GW1701817.