Structure of Nuclei Deformed at Maximum and the Mass Asymmetry in Low-Energy Fission

Physics – Nuclear Physics

Scientific paper

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Nuclear Structure, Shell Model (Nuclear), Nuclear Mass, Neutrons, Collective Levels, Shell Model, Binding Energies And Masses, Protons And Neutrons

Scientific paper

Single-particle spectra of neutrons and protons in 236U at scission (i.e., the maximum deformation this nucleus can sustain) are calculated as function of the mass asymmetry of the future fission fragments. Modified Cassini ovals were used to describe the nuclear shapes involved. Moving away from symmetric fission up to very asymmetric fission we observe the appearance and the disappearance of closed shells. This explains the complexity of the mass distribution and the strong preference for asymmetric divisions. For a more quantitative analyses we have calculated the pairing gap Δ and the Fermi energy γ in the frame of the renormalized BCS theory. A strong dependence of Δ on the fragment mass ratio AH/AL was found with a pronounced minimum at 1.5 for both neutrons and protons. This is in agreement with the most probable mass division measured in 235U(nth,f). Concerning the Fermi energies, the protons have lower values than the neutrons by more than 1 MeV. They are also stronger bound at symmetry (AL = 110-118) than at large asymmetries (AL = 70-80). To answer the important question of where the mass asymmetry is determined we have extended the calculations to successive stages between saddle and scission.

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