Relativistic Brueckner-Hartree-Fock theory in nuclear matter without the average momentum approximation

Hui Tong (童辉), Xiu-Lei Ren (任修磊), Peter Ring, Shi-Hang Shen (申时行), Si-Bo Wang (王锶博), and Jie Meng (孟杰)
Phys. Rev. C 98, 054302 – Published 5 November 2018

Abstract

Brueckner-Hartree-Fock theory allows one to derive the G matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center-of-mass momentum P of the two particles and on the two relative momenta q and q before and after the scattering process. In the evaluation of the total energy per particle in nuclear matter, usually the angle-averaged center-of-mass momentum approximation has been used. We derive in detail the exact expressions of the angular integrations of the momentum P within relativistic Brueckner-Hartree-Fock (RBHF) theory, especially for the case of asymmetric nuclear matter. In order to assess the reliability of the conventional average momentum approximation for the binding energy, the saturation properties of symmetric and asymmetric nuclear matter are systematically investigated based on the realistic Bonn nucleon-nucleon potential. It is found that the exact treatment of the center-of-mass momentum leads to non-negligible contributions to the higher order physical quantities. The correlations between the symmetry energy Esym, the slope parameter L, and the curvature Ksym of the symmetry energy are investigated. The results of our RBHF calculations for the bulk parameters characterizing the equation of state are compared with recent constraints extracted from giant monopole resonance and isospin diffusion experiments.

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  • Received 28 August 2018

DOI:https://doi.org/10.1103/PhysRevC.98.054302

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Hui Tong (童辉)1, Xiu-Lei Ren (任修磊)1,2, Peter Ring1,3, Shi-Hang Shen (申时行)1, Si-Bo Wang (王锶博)1, and Jie Meng (孟杰)1,4,5,*

  • 1State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
  • 2Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 3Physik-Department der Technischen Universität München, D-85748 Garching, Germany
  • 4Department of Physics, University of Stellenbosch, Stellenbosch, South Africa
  • 5Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

  • *mengj@pku.edu.cn

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Issue

Vol. 98, Iss. 5 — November 2018

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