Constituent Counting Rules and Exotic Hadrons
Abstract
The constituent counting rules, i.e., the scaling behavior of amplitudes (in terms of the number of fundamental constituents) for exclusive processes when high energy scales are present, have been known for decades, and have been borne out in a number of experiments. Such scaling would be sensitive, in particular, to possible exotic multiquark content. Here we examine how one may use the rules to test for pentaquarks in electroproduction, or for tetraquarks in e^+ e^- annihilation. An interesting new type of scaling (separate Mandelstam s and t behavior) arises in the forward scattering direction. The correct scaling arises naturally in AdS/QCD, in which the amplitudes can be computed explicitly.
Cite
@article{arxiv.1807.01650,
title = {Constituent Counting Rules and Exotic Hadrons},
author = {Richard F. Lebed},
journal= {arXiv preprint arXiv:1807.01650},
year = {2018}
}
Comments
8 pages. Invited presentation at NSTAR 2017, the 11th Interrnational Workshop on the Physics of Excited Nucleons, Aug. 20-23, 2017, Univ. of South Carolina, Columbia, S.C. Content matches that in published version