Chiral Symmetry: Pion-Nucleon Interactions in Constituent Quark Models

Details Chiral Symmetry: Pion-Nucleon Interactions in Constituent Quark Models Chiral Symmetry: Pion-Nucleon Interactions in Constituent Quark Models

1996-12-02

arxiv.org/abs/hep-ph/9612230v1

Phys.Rev.C55:2675-2683,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex style, 28 pages, 2 figures, use epsf.sty

Scientific paper

10.1103/PhysRevC.55.2675

We study the interactions of an elementary pion with a nucleon made of constituent quarks and show that the enforcement of chiral symmetry requires the use of a two-body operator, whose form does not depend on the choice of the pion-quark coupling. The coordinate space NN effective potential in the pion exchange channel is given as a sum of terms involving two gradients, that operate on both the usual Yukawa function and the confining potential. We also consider an application to the case of quarks bound by a harmonic potential and show that corrections due to the symmetry are important.

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