Ordinary and Extraordinary Hadrons
Abstract
Description
Resonances and enhancements in meson-meson scattering can be divided into two classes distinguished by their behavior as the number of colors N_c in QCD becomes large: The first are ordinary mesons that become stable as N_c goes to infinity. This class includes textbook q-bar q mesons as well as glueballs and hybrids. The second class, extraordinary mesons, are enhancements that disappear as N_c goes to infinity; they subside into the hadronic continuum. This class includes indistinct and controversial objects that have been classified as q-bar q-bar q q mesons or meson-meson molecules. Pelaez's study of the N_c dependence of unitarized chiral dynamics illustrates both classes: the p-wave pi-pi and K-pi resonances, the rho(770) and K*(892), behave as ordinary mesons; the s-wave pi-pi and K-pi enhancements, the sigma(600) and kappa(800), behave like extraordinary mesons. Ordinary mesons resemble Feshbach resonances while extraordinary mesons look more like effects due to potentials in meson-meson scattering channels. I build and explore toy models along these lines. Finally I discuss some related dynamical issues affecting the interpretation of extraordinary mesons.
18 pages, 10 figures, talk presented at the 2006 Yukawa International Seminar: New Frontiers in QCD, Kyoto University, November 2006. This talk is dedicated to the memory of R. H. Dalitz
18 pages, 10 figures, talk presented at the 2006 Yukawa International Seminar: New Frontiers in QCD, Kyoto University, November 2006. This talk is dedicated to the memory of R. H. Dalitz