Decay channels and charmonium mass-shifts

Abstract

The discovery in the last few years of the $X,Y$ and $Z$ states of the extended charmonium family has highlighted the importance of the closeness of decay channels to an understanding of these mesons. We aid this debate by illustrating a simple calculational procedure for including the effect of open and nearby closed channels.

4 pages, 2 figures Revised version: (1) corrected 2 typos in Table II, (2) additional text in penultimate paragraph to clarify the calculation of mass-shifts for ${\eta }_c^{\prime }$ and ${\eta }_c"$. We thank colleagues for pointing out confusing wording of previous text

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• Charmonium levels near threshold and the narrow state $X(3872) \to π^{+}π^{-}\jpsi$
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