Pion Production Model - Connection between Dynamics and Quark Models
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^*(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.
Cite
@article{arxiv.nucl-th/0005017,
title = {Pion Production Model - Connection between Dynamics and Quark Models},
author = {T. -S. H. Lee and T. Sato},
journal= {arXiv preprint arXiv:nucl-th/0005017},
year = {2007}
}
Comments
11 pages, 4 figures, to be published in Proceedings of NSTAR2000 workshop held at Jefferson Laboratory, Feb., 2000