Relativistic nuclear matter with self-consistent correlation energy

J. A. McNeil, C. E. Price, and J. R. Shepard
Phys. Rev. C 47, 1534 – Published 1 April 1993
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Abstract

We study relativistic nuclear matter in the σ-ω model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with the ring energy included. Two models are considered, mean-field theory where we neglect vacuum effects, and the relativistic Hartree approximation where such effects are included but in an approximate way. In both cases we find self-consistent solutions and present equations of state. In the mean-field case the ring energy completely dominates the attractive part of the energy density and the elegant saturation mechanism of the standard approach is lost, namely, relativistic quenching of the scalar attraction. In the relativistic Hartree approach the vacuum effects are included in an approximate manner using vertex form factors with a cutoff of 1–2 GeV, the range expected from QCD. Due to the cutoff, the ring energy for this case is significantly smaller, and we obtain self-consistent solutions which preserve the basic saturation mechanism of the standard relativistic approach.

  • Received 17 June 1992

DOI:https://doi.org/10.1103/PhysRevC.47.1534

©1993 American Physical Society

Authors & Affiliations

J. A. McNeil

  • Physics Department, Colorado School of Mines, Golden, Colorado 80401

C. E. Price and J. R. Shepard

  • Physics Department, University of Colorado, Boulder, Colorado 80301

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Vol. 47, Iss. 4 — April 1993

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