Pion Production Model - Connection between Dynamics and Quark Models
T. -S. H. Lee, T. Sato
Abstract
We discuss the difficulties in testing the hadron models by using the N* parameters extracted from the empirical amplitude analyses of the pi-N and gamma-N reaction data. As an alternative or perhaps a more advantageous approach, we present a Hamiltonian formulation that can relate the pion production dynamics and the constituent quark models of N* structure. The application of the approach in investigating the Delta and N*(S11) excitations is reviewed. It is found that while the Delta excitation can be described satisfactory, the pi-N scattering in S11 channel can not be described by the constituent quark models based on either the one-gluon-exchange or one-meson-exchange mechanisms. A phenomenological quark-quark potential has been constructed to reproduce the S11 amplitude.
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