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• W1977314579 abstract "In connection with nuclear fission we study the division of an idealized charged drop, using a simplified version of the liquid-drop model. The degrees of freedom essential to a discussion of the division of a charged drop and the separation of the fragments to infinity are taken into account: a fragment-separation coordinate, a mass-asymmetry coordinate, a deformation coordinate for each fragment and rotational coordinates for each fragment. To specify fragment deformation, the fragments are represented by spheroids; a nucleus prior to division is represented by two overlapping spheroids. The Hamiltonian for the idealized system consists of a sum of surface, Coulomb and kinetic energies. A study of the saddle-point energies and shapes calculated in this two-spheroid approximation indicates that the approximation is most useful for discussing the fission of elements lighter than about radium. On the basis of this model, we calculate probability distributions for certain observable characteristics of fission fragments at infinity — their total translational kinetic energy, mass, individual excitation energies and individual angular momenta. This is done by applying standard static, dynamical and statistical methods to the Hamiltonian for the system. The present treatment, for the most part, is classical; quantum mechanics is considered only in the statistical-mechanics discussion of the behaviour of the system near the saddle point. The predictions of the model are compared with existing experimental data for distributions in fragment mass and total translational kinetic energy for nuclei lighter than radium. The comparisons are made without the use of any adjustable parameters. The theory is capable of accounting for the magnitudes of the most probable values and widths of the experimental distributions, as well as some, but not all, finer details of the distributions. The dependence of the experimental distributions upon nuclear temperature, and the dependence of the experimental most probable kinetic energies upon the fissility parameter are also approximately reproduced by the calculations." @default.
• W1977314579 created "2016-06-24" @default.
• W1977314579 creator A5079374727 @default.
• W1977314579 creator A5080501991 @default.
• W1977314579 date "1965-09-01" @default.
• W1977314579 modified "2023-10-05" @default.
• W1977314579 title "Studies in the liquid-drop theory of nuclear fission" @default.
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• W1977314579 doi "https://doi.org/10.1016/0029-5582(65)90038-6" @default.
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