Two-pion transitions in quarkonium revisited

Abstract

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 ${\rm Y}(3S)\to \pi \pi {\rm Y}$ 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.

23 pages, 2 figures

References in corpus (13)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Quarkonium Interactions in Hadronic Matter
• A QCD Calculation of the Interaction of Quarkonium with Nuclei
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Psi(2S) -> pi^+ pi^- J/psi Decay Distributions
• The interaction of slow J/psi and psi' with nucleons
• The Hadronic Transitions $Upsilon(2S)\to Upsilon(1S)$
• Quarkonium chromo-polarizability from the decays $J/\psi ({\rm Y})\to \pi \pi {\ell }^{+}{\ell }^{-}$
• Final-state ππinteractions in Υ(3S)\rightarrowΥ(1S)ππ
• Chromo-polarizability and pipi final state interaction
• The enhancement of the decay Upsilon(1D) -> eta Upsilon(1S) by the axial anomaly in QCD
• First Observation of Upsilon(1D) States
• The decay eta_c^prime -> eta_c pi pi

Cited by in corpus (24)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Charmonium
• The Exotic XYZ Charmonium-like Mesons
• Quarkonia and their transitions
• Implications of heavy quark spin symmetry on heavy meson hadronic molecules
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• First Observation of the Zb0(10610) in a Dalitz Analysis of Y(5S) -> Y(nS) pi0 pi0
• Pionic transitions from X(3872) to chi_{cJ}
• Study of Di-Pion Transitions Among Upsilon(3S), Upsilon(2S), and Upsilon(1S) States
• Bottomonium dipion transitions
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• Hadronic decays of a light Higgs-like scalar
• Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects
• Precision Measurements of $\mathcal{B}[\psi (3686)\to {\pi }^{+}{\pi }^{-}J/\psi ]$ and $\mathcal{B}[J/\psi \to l^{+}{l}^{-}]$
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Study of $\eta$ and dipion transitions in ${\rm Y}(4S)$ decays to lower bottomonia
• Search for resonances decaying to eta_c pi+ pi- in two-photon interactions
• Remarks on the amplitude of the decay Upsilon(3S) -> Upsilon(1S) pi pi
• Analysis of the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ with the heavy quark symmetry
• Observation of muonic Dalitz decays of ${\chi }_b$ mesons and precise spectroscopy of hidden-beauty states
• Search for the $B_c^{+}\to {\chi }_{c1}(3872){\pi }^{+}$ decay
• Observation of a threshold enhancement in the ${\pi }^{+}{\pi }^{-}$ spectrum in $\psi (3686)\to {\pi }^{+}{\pi }^{-}J/\psi$ decays
• Exotic hadrons associated with $b$-quark