TY - JOUR
T1 - Implications of duality, unitarity and SU6 symmetry for baryons and baryonium
AU - Rosenzweig, Carl
N1 - Funding Information:
In order to understand baryons we must understand baryonium. Such is the lesson we can draw from preliminary studies \[1 -6\] of the baryon problem within the context of the topological or dual unitarity approach to the hadronic S-matrix \[7\].B aryonium \[8\]i s therefore of interest not only in its own right but also for its broader implications. The most striking property of baryonium states is the existence of a selection rule \[2-4,8,9\], analogous to the Okubo-Zweig-lizuka selection rule, which forbids baryonium decay into purely mesonic final states. Experimentally this is the feature which distinguishes the growing list of baryonium candidates \[10\] from other meson states. Theoretically, the origin of this selection rule remains obscure. In the meson sector the topological expansion provides a rigorous justification for the OZI rule in the planar limit. Does there exist an analogous limit in which the selection rule for baryonium becomes exact? It is this aspect of the baryonium problem we shall address here. We also provide an, admittedly crude, phenomenological scheme for estimating the strength of the breaking of this baryonium selection rule. Incorporation of baryons into the topological expansion presents numerous difficult problems. In this note we focus on the problem of understanding the pattern of (broken) exchange degeneracy (hereafter noted EXD) among baryons. Scanning the baryon i Work supported in part by the U.S. Energy Research and Development Administration. Contract #EY-76-S-02-3533.
PY - 1977/11/7
Y1 - 1977/11/7
N2 - It is shown that there exists a limit, involving both an exactly SU6 symmetric spectrum and exactly exchange degenerate Regge trajectories, in which the OZI like selection rule for baryonium is exact. Deviations from the rule occur when SU6 is broken and when unitarity forces the breaking of exchange degeneracy. By combining both of these latter effects we can qualitatively account for the observed pattern of broken exchange degeneracy among baryons. The strength of the baryonium coupling to mesons is related to the breaking of exchange degeneracy.
AB - It is shown that there exists a limit, involving both an exactly SU6 symmetric spectrum and exactly exchange degenerate Regge trajectories, in which the OZI like selection rule for baryonium is exact. Deviations from the rule occur when SU6 is broken and when unitarity forces the breaking of exchange degeneracy. By combining both of these latter effects we can qualitatively account for the observed pattern of broken exchange degeneracy among baryons. The strength of the baryonium coupling to mesons is related to the breaking of exchange degeneracy.
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U2 - 10.1016/0370-2693(77)90778-X
DO - 10.1016/0370-2693(77)90778-X
M3 - Article
AN - SCOPUS:49449119564
VL - 71
SP - 203
EP - 207
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1
ER -