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Static Fission-Barrier Calculations of a Two-Parameter Liquid Drop

J.N.P. Lawrence

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Abstract

Calculations based on a two-parameter description of a uniformly charged liquid drop are reported. Results include fission-barrier energy and other saddle-point properties. The electrostatic energy of the drop was computed by a novel and highly accurate method. The saddle-point properties and corresponding drop shapes are compared with calculations that use nine parameters. Agreement is best for fissionability parameters greater than 0.70, suggesting that these calculations may provide a few-parameter basis for dynamical calculations of adequate precision at the larger fissionability parameters.

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What this paper is about

Calculations based on a two-parameter description of a uniformly charged liquid drop are reported. Results include fission-barrier energy and other saddle-point properties. The electrostatic energy of the drop was computed by a novel and highly accurate method. The saddle-point properties and corresponding drop shapes are compared with calculations that use nine parameters. Agreement is best for fissionability parameters greater than 0.70, suggesting that these calculations may provide a few-parameter basis for dynamical calculations of adequate precision at the larger fissionability parameters.

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Available abstract

Calculations based on a two-parameter description of a uniformly charged liquid drop are reported. Results include fission-barrier energy and other saddle-point properties. The electrostatic energy of the drop was computed by a novel and highly accurate method. The saddle-point properties and corresponding drop shapes are compared with calculations that use nine parameters. Agreement is best for fissionability parameters greater than 0.70, suggesting that these calculations may provide a few-parameter basis for dynamical calculations of adequate precision at the larger fissionability parameters.

Key concepts: Semi-empirical mass formula, Liquid drop, Drop (telecommunication), Fission, Saddle point, Saddle, Materials science, Physics

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