Comparison between the symmetric fission and fusion paths |
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| Institution: | 1. Multiphase Reactors Engineering and Applications Laboratory (mReal), Department of Chemical & Biochemical Engineering, Missouri University of Science & Technology, Rolla, MO 65409, USA;2. Chemical Engineering Department, College of Engineering, Al-Nahrain University, Baghdad, Iraq;3. Cihan University, Erbil, Iraq;4. Prosthetics and Orthotics Engineering Department, College of Engineering, Al-Nahrain University, Baghdad, Iraq |
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| Abstract: | The symmetric fission path leading to smooth extended shapes and the fusion or new fission path going through the two tangent sphere configuration are investigated within the liquid-drop model including the nuclear proximity energy. Analytical formulae are given for the various shape-dependent functions which govern the dynamics. The quadrupole moment, the perpendicular moment of inertia and the Coulomb energy are similar in the two paths. In contrast, the neck radius, the rupture point between the fragments, the parallel and effective moments of inertia, the surface energy and the critical angular momentum against fission are quite different in the two valleys. The introduction of the proximity energy strongly lowers the deformation energy in the fusion valley and for the light, medium and very heavy nuclei the barrier heights are nearly equal in the two paths. This flattening of the potential surface by the proximity forces allows to better understand the sudden transition between the one- and two-body configurations. |
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