The pion-nucleon interaction in a relativistic Hartree-Fock theory of nuclear matter

C. J. Horowitz, Brian D. Serot

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Relativistic Hartree-Fock equations for nuclear matter are solved for both pseudoscalar and pseudovector pion-nucleon couplings. Results are very sensitive to the form of the interaction due to the relativistic nature of the self-consistent baryon spectrum. Pseudoscalar models yield unrealistic results for normal nuclear matter in this approximation.

Original languageEnglish
Pages (from-to)377-382
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number6
StatePublished - 4 Feb 1982
Externally publishedYes

Bibliographical note

Funding Information:
A relatwistic baryon-meson field theory has recently been proposed to describe the properties of high-density matter and finite nuclei \[1 ,2\].The model treats the relativistic propagation of the hadronic degrees of freedom correctly. Furthermore, by explicitly including mesons, this approach avoids introducing static nucleon -nucleon potentials. The model has been solved in the mean-field approximation, and the resulting "mean-field theory" (MFT) appears to be correct at high density and gives an accurate description of finite nuclei \[3-5\].T he renormali-zablhty of the model ensures that finite corrections to the MFT can be calculated m a well-defined fashion, which is important for studying the validity of the mean-field treatment. Investigations of vacuum fluctuation \[6\],s econd-order exchange \[6\],a nd correlation corrections \[7\]h ave indeed found negligible changes in the MFT equation of state of high-density nuclear matter. We recently reported results of relativistic Hartree-Fock (HF) calculations for nuclear and neutron matter, in which exchange corrections to the MFT are summed to all orders self-consistently \[8\].I n a simphfied model containing neutral scalar and vector mesons, the changes in the MFT equation of state are negligible at high density, but we find large corrections to the self-consistent baryon spectrum in this regime. This results in a change Work supported by NSF PHY 81-07395. 1 NSF Predoctoral Fellow.


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