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Nuclear Physics B
Volume 308, Issue 4, 24 October 1988, Pages 753-790
 
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doi:10.1016/0550-3213(88)90127-7    
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Copyright © 1988 Published by Elsevier Science B.V. All rights reserved.

Strangeness mixing and quenching in the Nambu-Jona-Lasinio model*1

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Véronique Bernardb, a

R. L. Jaffe and U. -G. Meissner

a Centre de Recherches Nucléaires et Université Louis Pasteur de Strasbourg, Groupe de Physique Nucléaire Théorique, BP 20, 67037, Strasbourg Cedex, France

b Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 021393, USA

Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA


Received 11 January 1988; 
revised 5 April 1988. 
Available online 18 October 2002.

Abstract

We study the mixing of quarks of one flavor into the wavefunction of constituent quarks of a different flavor when chiral symmetry breaks dynamically in the Nambu-Jona-Lasinio model. First we generalize the Nambu-Jona-Lasino model to Nƒ flavors including U(1)A symmetry breaking by a 2Nƒ-fermion interaction. In the Hartree-Fock approximation, this term is entirely responsible for flavor mixing. We specialize to three flavors and use meson properties and vacuum quark condensates to fix the three parameters of the model. We show that there are generically two different regimes in the broken chiral symmetry phase. Non-linearities in the strange quark mass are strong in the “barely broken regime”, allowing for a large Σ-term and a small s-quark content of the proton. In the “firmly broken regime”, non-linearities in ms, are small, chiral perturbation theory is likely to be reliable and the Σ-term is small. We also study deep inelastic scattering and demonstrate that dynamical chiral symmetry breaking gives rise to a non-negligible s-parton distribution.

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*1 This work is supported in part by funds provided by the U S Department of Energy (DOE) under contract #DE-AC02-76ER03069.


Nuclear Physics B
Volume 308, Issue 4, 24 October 1988, Pages 753-790
 
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