Saddle point shapes of nuclei

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 p...

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Bibliographic Details
Main Authors: Poenaru, D N, Plonski, I H, Greiner, W
Format: Conference Proceeding
Language:English
Subjects:
ASYMMETRY
COLD FISSION
CORRECTIONS
EUROPIUM
INTEGRO-DIFFERENTIAL EQUATIONS
LIQUID DROP MODEL
NUCLEAR DEFORMATION
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR STRUCTURE
NUCLEI
POTENTIAL ENERGY
RADIOISOTOPES
TERNARY FISSION
THORIUM ISOTOPES
URANIUM ISOTOPES
VARIATIONAL METHODS
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.2733031