Use of the Nambu--Jona-Lasino model in the calculation of the density dependence of four-quark condensates

Journal Article · Wed Feb 01 00:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.937· OSTI ID:6639219

Celenza, L S; Shakin, C M; Sun, W; Szweda, J ^[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)

Recent works concerning QCD sum rules in nuclear matter have provided a new method for the calculation of the nucleon self-energy in matter. The results of that program depend strongly on assumptions made concerning the density dependence of four-quark condensates. If a factorization scheme is used to express the four-quark condensate values in terms of the two-quark condensates, the (Lorentz) scalar self-energy of the nucleon is small. However, if the four-quark condensates have only a weak density dependence, the nucleon scalar self-energy is large and attractive, and is in accordance with Dirac phenomenology. In this paper our goal is to show how the Nambu--Jona-Lasinio model may be used to calculate the density dependence of four-quark condensates. As an elementary example we calculate some of the contributions to a four-quark condensate containing scalar-isoscalar [ital [bar q]q] pairs. These calculations suggest only a very small modification of the value of the scalar-isoscalar condensate in matter relative to the value obtained in the factorization scheme. However, when we continue our study of the correlator of operators with the quantum numbers of the nucleon, we encounter some new and important terms among the four-quark condensates. These have their origin in an exchange process between diquarks in the nucleon and diquarks present in the nucleons of the nuclear medium (nuclear matter). These terms may be taken to represent the effects of diquark condensates'' they are present in nuclear matter. If we use the interpolating field advocated by Ioffe we obtain a correction that eliminates the problematic density dependence of the four-quark condensates described above, if nuclear matter contains a similar amount of scalar ([ital T]=0) diquarks and axial-vector ([ital T]=1) diquarks. We believe that our paper provides increased confidence in the use of QCD sum rules in the study of the properties of hadrons in matter.

• OSTI ID: 6639219
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 51:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CONDENSATES
DENSITY
QUARK MODEL
FACTORIZATION
NUCLEAR MATTER
NUCLEONS
QUANTUM CHROMODYNAMICS
QUANTUM NUMBERS
QUARKS
SELF-ENERGY
SUM RULES
BARYONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FIELD THEORIES
HADRONS
MATHEMATICAL MODELS
MATTER
PARTICLE MODELS
PHYSICAL PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
662240* - Models for Strong Interactions- (1992-)
662130 - General Theory of Particles & Fields- S-Matrix Theory
Relativistic Scattering Theory- (1992-)
663110 - General & Average Properties of Nuclei & Nuclear Energy Levels- (1992-)