Cm. Maekawa et Mr. Robilotta, CHIRAL-SYMMETRY - PION-NUCLEON INTERACTIONS IN CONSTITUENT QUARK MODELS, Physical review. C. Nuclear physics, 55(5), 1997, pp. 2675-2683
We study the interactions of an elementary pion with a nucleon made of
constituent quarks and show that the enforcement of chiral symmetry r
equires the use of a two-body operator, whose form does not depend on
the choice of the pion-quark coupling. The coordinate space NN effecti
ve potential in the pion exchange channel is given as a sum of terms i
nvolving two gradients, which operate on both the usual Yukawa functio
n 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.