https://doi.org/10.65770/YNWP6996
ABSTRACT
Evaluation of nuclear masses is important not only for studies of nuclear structure but also for the synthesis of superheavy nuclei (SHN), fission processes, and astrophysical studies. However, experimental data in the superheavy region are scarce. Accurate theoretical mass models therefore play a crucial role in extrapolating nuclear masses not only beyond Z=118 but also toward the neutron and proton drip-line regions. In this study, a modified Bethe-Weizsäcker (MBW) binding energy formula for the superheavy region is proposed. The formula is based on a new description of a nuclear structure consisting of two regions: a dense nuclear core, assumed to contain equal number of protons and neutrons (2Z), and a nuclear surface composed of excess neutrons (N-Z). The surface and the Coulomb terms have been parameterized to account for the two regions, in addition to incorporating a modified shell-correction term and a deformation term. The calculated binding energies for 188 nuclei with , obtained using the modified Bethe-Weizsäcker (MBW) formula, are compared with experimental data from the AME 2020 mass table, predictions from FRDM 2012, and values obtained from the original Bethe-Weizsäcker formula. The modified formula yields a root-mean-square (RMS) deviation of 3.5 keV per nucleon, demonstrating excellent agreement with the experimental data. The proposed MBW formula is therefore well suited for extrapolating nuclear masses of superheavy nuclei that are likely to exist in the predicted island of stability.
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