# Behaviour of pf shell under RMF+BCS Description

## TL;DR

This paper uses the RMF+BCS approach to analyze the behavior of the pf shell in nuclei, revealing new insights into shell closures at N=32, N=34, Z=34, and predicting doubly magic nuclei near the dripline.

## Contribution

It introduces a detailed RMF+BCS analysis of pf shell nuclei, highlighting shell closures and predicting new doubly magic nuclei near the dripline.

## Key findings

- Shell closure at N=32 in Ca isotopes.
- Strong shell closure at N=34 in 48Si.
- Predicted doubly magic nuclei 60Ca and 68Ni.

## Abstract

We have employed RMF+BCS (relativistic mean-field plus BCS) approach to study behaviour of pf shell with the help of ground state properties of even-even nuclei. Our present investigations include separation energies , deformations, single particle energies, wavefunction, potential as well etc density distribution. As per recent experiments showing neutron magicity at N = 32 for Ca isotopes, our results with mass dependent pairing indicate a shell closure at N = 32 in Ca isotopes and a more strong shell closure at N = 34 in proton deficient 48Si because of reorganization of neutron pf shell. In a similar manner, proton pf shell structure is more likely to produce shell closure at Z = 34 with a doubly magic character for 84,116Se. We have also included N = 40 isotones and Z = 40 isotopes for our study and predicted 60Ca and 68Ni as doubly magic nuclei out of which 60Ca is found near dripline of Ca and a potential candidate for future studies in the chain of Ca isotopes next to doubly magic 52Ca.