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Heavy Quarkonium π^+π^- Transitions and a Possible bbar{b}qbar{q} State
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Heavy Quarkonium \pi^+\pi^- Transitions and a Possible b\bar{b}q\bar{q} State
abstract
$\pi^+\pi^-$ transitions of heavy quarkonia, especially the $ \Upsilon(3S)\to\Upsilon(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 $cos\theta_\pi^*$ distribution in the $\Upsilon(3S)\to\Upsilon(1S)\pi^+\pi^-$ 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 $b\bar bq\bar q$ state.
Forward citations
Cited by 2 Pith papers
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Low-energy scattering of the $J/\psi \pi$ and $J/\psi K$ system
First dispersive upper-bound estimates for J/ψπ and J/ψK scattering lengths, with soft-gluon exchange dominating the coupled-channel mechanism.
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Role of electromagnetic corrections in the $\pi\pi$ distributions of $\psi^\prime \to J/\psi \pi \pi$
Electromagnetic corrections alter the π⁺π⁻-threshold cusp magnitude by ~2–3% in ψ′→J/ψπ⁰π⁰, so they must be included for precision extraction of S-wave ππ scattering lengths.
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