Saddle point shapes of nuclei

Mathematics – Logic

Scientific paper

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Fission Reactions, Properties Of Nuclei, Nuclear Energy Levels, General Properties Of Fission

Scientific paper

Very general reflection asymmetrical saddle point nuclear shapes are obtained by solving an integro-differential equation without being necessary to specify a certain parametrization. This equation is derived as an Euler-Lagrange relationship associated to the variational problem of minimizing the potential energy with constraints (constant volume and given deformation parameter). The mass asymmetry in binary cold fission of Th and U isotopes is explained as the result of adding a phenomenological shell correction to the liquid drop model deformation energy. Applications to ternary fission are outlined.

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