Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-24
Phys.Rev.D74:054022,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 2 figures
Scientific paper
10.1103/PhysRevD.74.054022
Two-pion transitions in charmonium and bottomonium are considered with the leading relativistic effects taken into account. The contribution of the chromo- magnetic interaction of the charmed quarks to the amplitude of the decay $\psi(2S) \to \pi \pi J/\psi$ is estimated from the available data. This contribution is enhanced by a factor of three in the decay $\eta_c(2S) \to \pi \pi \eta_c$ and should produce a noticeable modification of the rate and the spectrum in the latter decay. It is argued that the peculiar observed spectrum in the decay $\Upsilon(3S) \to \pi \pi \Upsilon$ arises due to a dynamical suppression of the leading nonrelativistic quarkonium amplitude and thus enhanced prominence of the relativistic terms. Also discussed are the effects of the final state interaction between the pions.
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