Two-pion transitions in quarkonium revisited

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Abstract

Two-pion transitions in charmonium and bottomonium are considered with the leading relativistic effects taken into account. It is estimated that the contribution of the chromo-magnetic interaction of the charmed quarks to the amplitude of the decay ψ(2S)→ππJ/ψ is at the level of (15-20)%. This contribution is enhanced by a factor of 3 in the decay ηc(2S)→ππηc, producing a significant modification of the rate and the spectrum in the latter decay. It is also suggested that the peculiar observed spectrum in the decay Υ(3S)→ππΥ can be explained by a relative prominence of the relativistic terms, if the leading nonrelativistic quarkonium amplitude is dynamically suppressed. Also discussed are the effects of the final state interaction between the pions.

Original languageEnglish (US)
Article number054022
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number5
DOIs
StatePublished - 2006

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