Critique of the locally linearized approximation to the nuclear single particle density matrix

D. Kessler, J. W. Negele

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Approximations to the density matrix of a Fermi gas in an external potential by Baltin and by Balazs and Zipfel are shown to be closely related. Predictions for the kinetic energy density using these approximations are compared to exact solutions for two harmonic oscillator problems and for Woods-Saxon wave functions in the lead nucleus. In all three cases, the approximations yield substantial systematic discrepancies, indicating that they are inadequate for quantitative description of the nuclear density matrix. NUCLEAR STRUCTURE Approximation to single particle density matrix. Corrections to Thomas-Fermi approximation.

Original languageEnglish
Pages (from-to)1698-1701
Number of pages4
JournalPhysical Review C - Nuclear Physics
Volume13
Issue number4
DOIs
StatePublished - 1976
Externally publishedYes

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