Classical Self-Consistent Nuclear Model
Oct 1, 19615 pages
Published in:
- Phys.Rev. 124 (1961) 227-232
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Abstract: (APS)
The Thomas-Fermi method in simplest form is applied to find the radial distribution of nucleons in a spherical nucleus in the absence of Coulomb forces. Saturation is obtained by hypothesizing a two-body force quadratically dependent on relative momentum. The effective one-nucleon potential energy is therefore velocity dependent. Solving the basic integral equation and imposing generally accepted values for the average and Fermi kinetic energies in the nuclear matter limit (A→∞) gives a solution exhibiting surface and saturated interior regions. Fixing one more parameter (the force range, taken to be ℏmπc) determines all numerical features (e.g., surface thickness, interaction strength) at reasonable values.References(5)
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