Regular Article - Theoretical Physics
On the stability of superheavy nuclei
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
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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