Quasiparticle properties of the quarks of the Nambu--Jona-Lasinio model

Journal Article · Tue Dec 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.46.2535· OSTI ID:7029812

Cao, N; Shakin, C M; Sun, W ^[1]

---

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

In spite of the apparent limitations of the model, in recent years there have been many applications of the Nambu--Jona-Lasinio (NJL) model in the study of hadron structure and in the study of the behavior of nuclear matter at finite temperature and density. A number of researchers have studied a generalized SU(3) version of the NJL model. For example, Vogl, Lutz, Klimt, and Weise (Nucl. Phys. A516 469 (1990)) have performed extensive calculations that include a calculation of a scalar form factor of a constituent quark, {ital F}{sub {ital s}}({ital q}{sup 2}), and a calculation of a quark sigma term {sigma}{sub {ital q}}. (In their work, the latter quantity is related to the nucleon sigma term {sigma}{sub {ital N}} as in a constituent quark model: {sigma}{sub {ital N}}=3{sigma}{sub {ital q}}.) These calculations are made in what may be termed a sigma-dominance approximation. In the work reported here, we review the important role played by the nucleon sigma term in understanding the behavior of the quark condensate in the presence of matter. We make use of the original SU(2) version of the NJL model to study how various quark properties are modified when we take into account the dressing of the constituent quarks by the pion, the Goldstone boson of the model. We calculate the quark self-energy arising from emission and absorption of a pion and also show how the calculation of the scalar form factor of the quark and {sigma}{sub {ital q}} are modified due to the coupling of the quark to the pion. The correction terms considered here serve to reduce the value of {sigma}{sub {ital q}} by a small amount relative to the value obtained in the simplest version of the sigma dominance model. For example, for a Euclidean momentum cutoff, {Lambda}=1050 MeV, the uncorrected result is {sigma}{sub {ital N}}=54.6 MeV.

• OSTI ID: 7029812
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 46:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MATTER
MESONS
NUCLEAR MATTER
NUCLEAR MODELS
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUARKS
RELATIVITY THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS