Quark condensates in the chiral bag with the Nambu-Jona-Lasinio interaction

Journal Article · Fri Feb 29 23:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.054007· OSTI ID:21249704

Yasui, S; Oka, M ^[1]; Hosaka, A ^[2]

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1. Department of Physics, Tokyo Institute of Technology, H-27, Meguro, Tokyo 152-8551 (Japan)
2. Research Center for Nuclear Physics (RCNP), Osaka University, Mihogaoka 10-1, Ibaraki, Osaka 567-0047 (Japan)

We discuss the quark condensate of the vacuum inside the baryon. We analyze the 1+1-dimensional chiral bag in analogy with the realistic 1+3-dimensional one. The Nambu-Jona-Lasinio (NJL) type interaction is used to investigate the quark condensate in the chiral bag. Considering the strong meson-quark coupling, we solve the mean field solution to the scalar and pseudoscalar channels. Extracting the finite values of the chiral Casimir energy and the quark condensate by proper regularization, the resulting self-consistent equation allows a generation of a finite dynamical quark mass inside the bag.

• OSTI ID: 21249704
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
CASIMIR EFFECT
CHIRALITY
COUPLING
EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
INTERACTIONS
MASS
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
MESONS
QUARK CONDENSATION
QUARKS
TWO-DIMENSIONAL CALCULATIONS