Relation of QCD sum rules in matter and the nuclear many-body problem

Journal Article · Mon Aug 01 00:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.1129· OSTI ID:7264018

Shakin, C M ^[1]

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1. Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210 (United States)

The method of QCD sum rules provides a powerful technique for the calculation of properties of hadrons in terms of a number of parameters that specify various condensate matrix elements. One may hope that it will be possible to calculate some of the condensate matrix elements using effective Lagrangians. If we concentrate on quark condensates, the Nambu--Jona-Lasinio model may provide a useful model. In this work we study the relation between relativistic nuclear many-body theory and the analysis of the nucleon self-energy in nuclear matter made using QCD sum rules. This is done by introducing the fields of a bosonized version of the Nambu--Jona-Lasinio (NJL) model. Using the simplest version of the QCD sum-rule analysis, we replace the QCD order parameters in matter with related order parameters describing a Lorentz scalar and a vector field. In our mean-field analysis we find that the many-body theory, based upon the bosonization of the NJL model, is consistent with the simplest version of the QCD sum-rule calculation of the nucleon self-energy in matter.

• OSTI ID: 7264018
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 50:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NUCLEAR MATTER
QUANTUM CHROMODYNAMICS
SUM RULES
HADRONS
MANY-BODY PROBLEM
MATRIX ELEMENTS
MEAN-FIELD THEORY
NUCLEONS
ORDER PARAMETERS
QUARK CONDENSATION
SELF-ENERGY
BARYONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FIELD THEORIES
MATTER
QUANTUM FIELD THEORY
663110* - General & Average Properties of Nuclei & Nuclear Energy Levels- (1992-)
662230 - Quantum Chromodynamics- (1992-)
663300 - Nuclear Reactions & Scattering
General- (1992-)