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

  • Physics of Atomic Nuclei and Elementary Particles
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Moscow University Physics Bulletin Aims and scope

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.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, Moscow, 119191, Russia

    S. A. Goncharov & R. V. Sukhorukov

Authors
  1. S. A. Goncharov
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  2. R. V. Sukhorukov
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Correspondence to S. A. Goncharov.

Additional information

Original Russian Text © S.A. Goncharov, R.V. Sukhorukov, 2018, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2018, No. 3.

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Goncharov, S.A., Sukhorukov, R.V. An Approximation for the Density Matrix in Calculations of the Mean-Field Potential of the Interaction of Nuclei. Moscow Univ. Phys. 73, 301–305 (2018). https://doi.org/10.3103/S0027134918030074

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  • DOI: https://doi.org/10.3103/S0027134918030074

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