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The Effect of Various Three-Body Forces on Nuclear Matter and Neutron Stars Properties

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Abstract

The binding energy per nucleon for nuclear matter, i.e., equation of state (EOS), within the Brueckner–Hartree–Fock (BHF) approach with the consideration of various three-body forces (3BFs) like the phenomenological 3BF and by adding a contact term to the BHF calculations are considered at variance densities. The 3BF contribution turns out to be nonnegligible contribution and to have a substantial saturation effect. The calculations are done utilizing the CD-Bonn and Argonne V18 nucleon–nucleon (NN) potentials. These NN potentials give great fitting to the deuteron properties and are phase-shift equivalent. The resultant EOS is compatible with the phenomenological analysis on the saturation point. It is demonstrated that the 3BF influences significantly on the nuclear matter EOS at high densities. Moreover, it is necessary for reproducing the empirical saturation properties for symmetric nuclear matter. The pressure has been also calculated and the suggested approaches reproduce fairly well agreement with the empirical data. We also examined the maximum neutron star masses which are close to two solar masses, which is again compatible with recent observational data. Comparison with other microscopic EOS is presented and discussed.

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ACKNOWLEDGMENTS

One of the authors, Kh.S.A. Hassaneen, would like to thank Professors H. Müther for helpful discussions and guidance as well as Professor M. Baldo for providing three-body force code.

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Authors and Affiliations

  1. Physics Department, Faculty of Science, Taibah University, 41411, Medina, Saudi Arabia

    H. M. Abou-Elsebaa & E. M. Darwish

  2. Physics Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt

    H. M. Abou-Elsebaa, E. M. Darwish & Kh. S. A. Hassaneen

Authors
  1. H. M. Abou-Elsebaa
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  2. E. M. Darwish
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  3. Kh. S. A. Hassaneen
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Correspondence to H. M. Abou-Elsebaa.

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Translated by E. Oborin

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Abou-Elsebaa, H.M., Darwish, E.M. & Hassaneen, K.S. The Effect of Various Three-Body Forces on Nuclear Matter and Neutron Stars Properties. Moscow Univ. Phys. 75, 320–330 (2020). https://doi.org/10.3103/S0027134920040025

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  • DOI: https://doi.org/10.3103/S0027134920040025

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