Testing of the Cassinian ovaloid as fission shape
Dai Guangxi, Liu Ximing, Guoxing Liu
Abstract
Dai Guangxi, Liu Ximing, Guoxing Liu
Abstract
The large deformation of the fission process may be described by a Cassinian ovaloid with two variables, symmetry Epsilon and mass asymmetry p. It is a simple and intuitive method. Based on the standard liquid drop model and the ovaloid, one can reproduce some fission data, such as effective moment of inertia, fission threshold energy at saddle point and also TKE at scission point without any adjustable parameters. The paper presents some simple expressions for Coulomb energy and surface energy as function of Epsilon and p, and also an analytical expression for the moment of inertia.
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The large deformation of the fission process may be described by a Cassinian ovaloid with two variables, symmetry Epsilon and mass asymmetry p. It is a simple and intuitive method. Based on the standard liquid drop model and the ovaloid, one can reproduce some fission data, such as effective moment of inertia, fission threshold energy at saddle point and also TKE at scission point without any adjustable parameters. The paper presents some simple expressions for Coulomb energy and surface energy as function of Epsilon and p, and also an analytical expression for the moment of inertia.
Key concepts: Fission, Moment of inertia, Physics, Inertia, Asymmetry, Saddle point, Semi-empirical mass formula, Nuclear fission