TL;DR
This paper conducts a comprehensive theoretical investigation into the proton and neutron magic numbers in superheavy nuclei beyond known limits, identifying Z=120 and several neutron numbers as key magic numbers using advanced nuclear models.
Contribution
It introduces a systematic study combining multiple nuclear models to predict new magic numbers in the superheavy element region beyond Z=82 and N=126.
Findings
Z=120 identified as proton magic number
N=172, 182/184, 208, 258 identified as neutron magic numbers
Provides theoretical support for future experimental searches
Abstract
An extensive theoretical search for the proton magic number in the superheavy valley beyond 82 and corresponding neutron magic number after 126 is carried out. For this we scanned a wide range of elements and their isotopes. The well established non-relativistic Skryme-Hartree-Fock and Relativistic Mean Field formalisms with various force parameters are used. Based on the calculated systematics of pairing gap, two neutron separation energy and the shell correction energy for these nuclei, we find 120 as the next proton magic and N=172, 182/184, 208 and 258 the subsequent neutron magic numbers.
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