Baryon structure in a quark-confining nonlocal Nambu-Jona-Lasinio model

Journal Article · Wed Dec 01 04:00:00 EST 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.065203· OSTI ID:20695841

Rezaeian, Amir H; Walet, Niels R ^[1]; Birse, Michael C ^[2]

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1. Department of Physics, UMIST, PO Box 88, Manchester, M60 1QD (United Kingdom)
2. Theoretical Physics Group, Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL (United Kingdom)

We study the nucleon and diquarks in a nonlocal Nambu-Jona-Lasinio model. For certain parameters the model exhibits quark confinement, in the form of a propagator without real poles. After truncation of the two-body channels to the scalar and axial-vector diquarks, a relativistic Faddeev equation for nucleon bound states is solved in the covariant diquark-quark picture. The dependence of the nucleon mass on diquark masses is studied in detail. We find parameters that lead to a simultaneous reasonable description of pions and nucleons. Both the diquarks contribute attractively to the nucleon mass. Axial-vector diquark correlations are seen to be important, especially in the confining phase of the model. We study the possible implications of quark confinement for the description of the diquarks and the nucleon. In particular, we find that it leads to a more compact nucleon.

• OSTI ID: 20695841
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 70; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUND STATE
COLOR MODEL
CORRELATIONS
FADDEEV EQUATIONS
MASS FORMULAE
NUCLEONS
PARTICLE STRUCTURE
PIONS
PROPAGATOR
QUARKS
RELATIVISTIC RANGE
REST MASS
SCATTERING
TWO-BODY PROBLEM