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Skyrme–Hartree–Fock (SHF); binding energies; nucleon separation energy; pairing energy; average pairing gap; shell correction energy; single-particle energy.

We searched for the shell closure proton and neutron numbers in the superheavy region beyond 𝑍 = 82 and 𝑁 = 126 within the framework of non-relativistic Skryme–Hartree–Fock (SHF) with FITZ, SIII, SkMP and SLy4 interactions. We have calculated the average proton pairing gap $\Delta_p$, average neutron pairing gap $\Delta_n$, two-nucleon separation energy $S_{2q}$ and shell correction energy $E_{\text{shell}}$ for the isotopic chain of 𝑍 = 112–126. Based on these observables, 𝑍 = 120 with 𝑁 = 182 is suggested to be the magic numbers in the present approach.

M Bhuyan¹ S K Patra¹

1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India

Published

May 2014

Early published

27 April 2014