Heavy Quarkonium π^+π^- Transitions and a Possible b\bar{b}q\bar{q} State

Abstract

${\pi }^{+}{\pi }^{-}$ transitions of heavy quarkonia, especially the ${\rm Y}(3S)\to {\rm Y}(1S){\pi }^{+}{\pi }^{-}$ decay process, are revisited. In the framework of the Chiral Unitary Theory (ChUT), the $S$ wave $\pi \pi$ final state interaction (FSI) is included. It is found that when an additional intermediate state with $J^P=1^{+}$ and I=1 is introduced, not only the $\pi \pi$ invariant mass spectrum and the $cos{\theta }_{\pi }^{\ast }$ distribution in the ${\rm Y}(3S)\to {\rm Y}(1S){\pi }^{+}{\pi }^{-}$ process can simultaneously be well-explained, but also a consistent description for other bottomonia ${\pi }^{+}{\pi }^{-}$ transitions can be obtained. As a consequence, the mass and the width of the intermediate state are predicted. From the quark content analysis, this state should be a $b\bar{b}q\bar{q}$ state.

arXiv comment17 pages, 8 figures; misprints corrected

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Cited by in corpus (28)

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• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Novel implementation of the multipole expansion to quarkonium hadronic transitions
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• Chromopolarizabilities of bottomonia from the ${\rm Y}(2S,3S,4S)\to {\rm Y}(1S,2S)\pi \pi$ transitions
• Remarks on the amplitude of the decay Upsilon(3S) -> Upsilon(1S) pi pi
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• Revealing dipion correlations for the observed substructure near the ${\pi }^{+}{\pi }^{-}$ mass threshold in $\psi (3686)\to J/\psi {\pi }^{+}{\pi }^{-}$
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• Exotic hadrons associated with $b$-quark
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