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On the stability of neutron matter calculations

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Zeitschrift für Physik A Hadrons and nuclei

Abstract

The problem of the stability of usual Hartree-Fock calculations of neutron matter with effective two-body interactions is investigated by using the second order variational equations. Sufficient conditions for instability are derived, which can be checked easily for a given effective potential. Numerical calculations are performed and neutron matter is found to be unstable against density fluctuations.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität zu Köln, Germany

    W. Hillebrandt

  2. Institut für Kernphysik der Technischen Hochschule, Schloßgartenstraße 9, D-6100, Darmstadt, Germany

    W. Hillebrandt

Authors
  1. W. Hillebrandt
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Additional information

The author would like to thank Prof. P. Mittelstaedt for stimulating and helpful discussions and the “Bundesministerium für Wissenschaft und Forschung” for financial support.

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Hillebrandt, W. On the stability of neutron matter calculations. Z. Physik 264, 321–330 (1973). https://doi.org/10.1007/BF01398858

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  • DOI: https://doi.org/10.1007/BF01398858

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