Dynamical test of constituent quark models with πN reactions

Phys. Rev. C 61, 065203 – Published 17 May 2000
T. Yoshimoto, T. Sato, M. Arima, and T.-S. H. Lee


A dynamical approach is developed to predict the πN scattering amplitudes starting with the constituent quark models. The first step is to apply a variational method to solve the three-quark bound state problem. The resulting wave functions are used to calculate the N*πN,ηN,πΔ vertex functions by assuming that the π and η mesons couple directly to quarks. These vertex functions and the predicted baryon bare masses then define a Hamiltonian for πN reactions. We apply a unitary transformation method to derive from the constructed Hamiltonian a multichannel and multiresonance reaction model for predicting the πN scattering amplitudes up to W=2 GeV. With the parameters constrained by the Δ(1232) excitation, we have examined the extent to which the πN scattering in the S11 channel can be described by constituent quark models based on one-gluon-exchange or one-meson exchange mechanisms. It is found that the data seem to favor the spin-spin interaction due to one-meson exchange and the tensor interaction due to one-gluon exchange. A phenomenological quark-quark potential has been constructed to reproduce the S11 amplitude.

DOI: http://dx.doi.org/10.1103/PhysRevC.61.065203

  • Received 16 August 1999
  • Revised 3 February 2000
  • Published 17 May 2000

© 2000 The American Physical Society

Authors & Affiliations

T. Yoshimoto1, T. Sato1, M. Arima2, and T.-S. H. Lee3

  • 1Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • 2Department of Physics, Osaka City University, Osaka 558-8585, Japan
  • 3Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

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