Abstract
The neutron shell gap at N=152 has been experimentally confirmed through high-precision mass meas-urements on nobelium(Z=102)and lawrencium(Z=103)isotopes.The experimental measurements on α-decay properties suggest that deformed doubly-magic nature of 270Hs.However,the magic gaps in the superheavy region are generally expected to be fragile.In this study,we test the robustness of N=152 shell closure in N=152 iso-tones and Z=108 shell closure in Hs isotopes by employing an alternative approach where both theoretical analysis and available experimental data are required.Combined with existing experimental measurements on α-decay ener-gies,it is determined that robust N=152 neutron shell persists at least in Z=101-105 isotopes,and robust Z=108 proton shell persists in Hs isotopes with N=159,160.Additionally,the relativistic mean-field model is de-termined as unable to provide N=152 shell.Thus,the conclusion that robust N=152 shell exists at least in Z=101-105 isotopes,provides crucial benchmarks for constraining effective interactions suitable for superheavy nuclei in nuclear energy-density functional theory in future.
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