Pion Production Model - Connection between Dynamics and Quark Models

Details Pion Production Model - Connection between Dynamics and Quark Models Pion Production Model - Connection between Dynamics and Quark Models

2000-05-08

arxiv.org/abs/nucl-th/0005017v2

Physics

Nuclear Physics

Nuclear Theory

11 pages, 4 figures, to be published in Proceedings of NSTAR2000 workshop held at Jefferson Laboratory, Feb., 2000

Scientific paper

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^*(S_{11}) excitations is reviewed. It is found that while the Delta excitation can be described satisfactory, the pi-N scattering in S_{11} 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 S_{11} amplitude.

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