Abstract

The previously reported differential dispersive interpretation of the narrow resonances in e+e− annihilation is described in more detail. In addition, the final asymptotic value of the ratioR=σ(e+e−→hadrons)/σ(e+e−→μ+μ−) is found to be related to, but not simply the same as, the sum over the squares of the quark charges. Both this final asymptotic value ofR and the narrow resonances are argued to be consistent with the renormalizability of electrodynamics together with the scale invariance of the hadronic electromagnetic current at large momentum transfer, where only the conventional colored, fractionally charged p, n and λ quarks are involved in this scale-invariant limit. No new quark or new quantum number is necessary.

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