Behaviour of the pf shell under the RMF+BCS description

We have employed the RMF+BCS (relativistic mean-field plus BCS) approach to study the behaviour of the pf shell with the help of the ground state properties of even-even nuclei. Our present investigations include the single particle energies, the deformations, the separation energies as well as the pairing energies, etc. 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 the neutron pf shell. In a similar manner, the 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 in our study and predicted 60Ca and 68Ni as doubly magic nuclei out of which 60Ca is found near the drip-line of Ca and is a potential candidate for future studies in the chain of Ca isotopes next to doubly magic 52Ca.