https://doi.org/10.1140/epja/s10050-022-00737-3
Regular Article - Theoretical Physics
On the stability of superheavy nuclei
1
Institute of Physics, Maria Curie Skłodowska University, 20-031, Lublin, Poland
2
Institut Pluridisciplinaire Hubert Curien, CNRS-IN2P3, 67-200, Strasbourg, France
3
Department of Physics, Tsinghua University, 100084, Beijing, China
4
China Institute of Atomic Energy, 102413, Beijing, China
5
School of Physics and Electrical Engineering, Anyang Normal University, 455000, Anyang, China
Received:
20
January
2022
Accepted:
20
April
2022
Published online:
28
April
2022
Potential energy surfaces of even–even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout the periodic table, including those of fissioning nuclei. The Lublin Strasbourg Drop and another effective liquid-drop type mass formula are used to determine the macroscopic part of nuclear energy. The Yukawa-folded single-particle potential, the Strutinsky shell-correction method, and the BCS approximation for including pairing correlations are used to obtain microscopic energy corrections. The evaluated nuclear binding energies, fission-barrier heights, and 
energies show a relatively good agreement with the experimental data. A simple one-dimensional WKB model à la Świa̧tecki is used to estimate spontaneous fission lifetimes, while 
decay probabilities are obtained within a Gamow-type model.
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