Two-nucleon correlations in a relativistic theory of nuclear matter

C. J. Horowitz, Brian D. Serot

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81 Scopus citations

Abstract

Relativistic two-nucleon correlations are studied using a self-consistent summation of ladder diagrams in nuclear matter. Correlations have a small effect on the nucleon self-energy but may produce significant changes in the binding energy. Correlation corrections to the mean-field equation of state are small at high density.

Original languageEnglish
Pages (from-to)287-293
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume137
Issue number5-6
DOIs
StatePublished - 5 Apr 1984
Externally publishedYes

Bibliographical note

Funding Information:
The study of the two-nucleon problem in infinite nuclear matter has historically led to considerable insight into the nucleon-nucleon interaction. In a nonrelativistic approach, one begins with a two-body potential and solves the Bethe-Goldstone equation \[1 -3\] for the correlated two-nucleon wave function, incorporating both the Pauli exclusion principle and the average single-particle potential acting on nucleons in the medium. There is increasing evidence that the nucleon-nucleon interaction contains large Lorentz scalar and four-vector components. These components may be seen directly by writing the observed NN interaction in terms of Lorentz invariants \[4\],a nd they also arise naturally in one-boson-exchange-potential (OBEP) descriptions of NN scattering \[5,6\]M. oreover, Dirac-Hartree calculations of finite nuclei incorporating large scalar and vector potentials yield excellent agreement with the bulk properties of doubly magic nuclei \[7-9\]. Finally, recent calculations of cross sections and spin observables in medium-energy nucleon- Supported in part by NSF Grant PHY 81-07395 and US DOE contract DE-AC02-76ER03069. I Alfred P. Sloan Foundation Research Fellow.

Funding

The study of the two-nucleon problem in infinite nuclear matter has historically led to considerable insight into the nucleon-nucleon interaction. In a nonrelativistic approach, one begins with a two-body potential and solves the Bethe-Goldstone equation \[1 -3\] for the correlated two-nucleon wave function, incorporating both the Pauli exclusion principle and the average single-particle potential acting on nucleons in the medium. There is increasing evidence that the nucleon-nucleon interaction contains large Lorentz scalar and four-vector components. These components may be seen directly by writing the observed NN interaction in terms of Lorentz invariants \[4\],a nd they also arise naturally in one-boson-exchange-potential (OBEP) descriptions of NN scattering \[5,6\]M. oreover, Dirac-Hartree calculations of finite nuclei incorporating large scalar and vector potentials yield excellent agreement with the bulk properties of doubly magic nuclei \[7-9\]. Finally, recent calculations of cross sections and spin observables in medium-energy nucleon- Supported in part by NSF Grant PHY 81-07395 and US DOE contract DE-AC02-76ER03069. I Alfred P. Sloan Foundation Research Fellow.

FundersFunder number
National Science FoundationPHY 81-07395
U.S. Department of EnergyDE-AC02-76ER03069

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