# Nuclear structure investigation of even-even Sn isotopes within the covariant density functional theory

## TL;DR

This paper uses covariant density functional theory to analyze ground-state properties of Sn isotopes across a wide range, providing insights into nuclear structure and shape phase transitions with results aligning well with experimental data.

## Contribution

It applies covariant density functional theory to systematically study Sn isotopes from proton to neutron drip lines, including shape phase transition analysis, which is a novel comprehensive approach.

## Key findings

- Good agreement with experimental data for binding energies and radii.
- Identification of shape phase transition in Sn isotopic chain.
- Consistent results with relativistic mean field models.

## Abstract

The current investigation aims to study the ground-state properties of one of the most interesting isotopic chains in the periodic table, 94-168Sn, from the proton drip line to the neutron drip line by using the covariant density functional theory, which is a modern theoretical tool for the description of nuclear structure phenomena. The physical observables of interest include the binding energy, separation energy, two-neutron shell gap, rms-radii for protons and neutrons, pairing energy and quadrupole deformation. The calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the neutron-rich one, by using the density-dependent meson-exchange and the density dependent point-coupling effective interactions. The obtained results are discussed and compared with available experimental data and with the already existing results of relativistic Mean Field (RMF) model with NL3 functional. The shape phase transition for Sn isotopic chain is also investigated. A reasonable agreement is found between our calculated results and the available experimental data.