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Analytic description of the fusion and fission processes through compact quasi-molecular shapes
Affiliation:1. Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel;2. Soreq NRC, Yavne 81800, Israel;1. Extreme Light Infrastructure – Nuclear Physics (ELI-NP), Horia Hulubei National Institute for Physics and Nuclear Engineering, 30 Reactorului Street, RO-077125 Magurele, Jud. Ilfov, Romania;2. Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay, France;1. Joint Institute for Nuclear Research, 141980 Dubna, Russia;2. “Babeş-Bolyai” University, Faculty of Physics, 400084 Cluj-Napoca, Romania;3. Mathematical Physics Department, Tomsk Polytechnic University, 634050 Tomsk, Russia
Abstract:Recent studies have shown that the characteristics of the entrance and exit channels through compact quasi-molecular shapes are compatible with the experimental data on fusion, fission and cluster radioactivity when the deformation energy is determined within a generalized liquid drop model. Analytic expressions allowing to calculate rapidly the main characteristics of this deformation path through necked shapes with quasi-spherical ends are presented now; namely formulas for the fusion and fission barrier heights, the fusion barrier radius, the symmetric fission barriers and the proximity energy.
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