Semiclassical Approximations for a Momentum Dependent One body Potential   Shell Correction

Semiclassical Approximations for a Momentum Dependent One body Potential Shell Correction

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  • Publish Date: 1976
  • ISBN-10: OCLC:1065690883
  • ebook-semiclassical-approximations-for-a-momentum-dependent-one-body-potential-shell-correction-.pdf
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Book Summary

Recently a semiclassical approximation was applied by Jennings, et al., for a system of noninteracting fermions in a local one-body potential. This is a way to calculate shell corrections alternative to Strutinsky's method. This method was generalized to a spherical but a momentum dependent potential of the form, V(r) + 1/2(p2W(r) + W(r)p2). Explicit expressions are developed for the number of particles and the smooth sum of single particle energies in terms of the Fermi energy and the one-body potential and its first two derivatives. They are calculated for selected values of the parameters and compared with the sum of single particle energies obtained by numerical solution of the Schroedinger equation. The difference between the two is evidently the shell correction.

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