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Moscow University Physics Bulletin

, Volume 73, Issue 3, pp 301–305 | Cite as

An Approximation for the Density Matrix in Calculations of the Mean-Field Potential of the Interaction of Nuclei

  • S. A. GoncharovEmail author
  • R. V. Sukhorukov
Physics of Atomic Nuclei and Elementary Particles
  • 12 Downloads

Abstract

An approximation has been proposed for the nucleus single-particle density matrix in calculating the exchange component of the mean-field potential in the double-folding model. The method is based on the pseudo-oscillator representation of the density matrix and makes it possible to separate single-particle and internucleon variables, which greatly simplifies and accelerates the process of calculating the mean-field potential. Test calculations based on examples of alpha-particle interactions with 12C, 16O, and 40Ca nuclei have shown the adequacy of the proposed approximation.

Keywords

density matrix mean-field potential harmonic oscillator model diffraction optical model light nuclei 

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© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Department of PhysicsMoscow State UniversityMoscowRussia

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