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# Tetraquark interpretation of the BELLE data on the anomalous $$\Upsilon(1S) \pi^+\pi^-$$ and $$\Upsilon(2S) \pi^+\pi^-$$ production near the $$\Upsilon(5S)$$ resonance

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### Abstract

We analyze the Belle data [K. F. Chen {\it et al.} (Belle Collaboration), Phys.\ Rev.\ Lett.\ {\bf 100}, 112001 (2008); I. Adachi {\it et al.} (Belle Collaboration), arXiv:0808.2445] on the processes $$e^+ e^- \to \Upsilon(1S)\; \pi^+\pi^-, \Upsilon(2S)\; \pi^+\pi^-$$ near the peak of the $$\Upsilon(5S)$$ resonance, which are found to be anomalously large in rates compared to similar dipion transitions between the lower $$\Upsilon$$ resonances. Assuming these final states arise from the production and decays of the $$J^{PC}=1^{--}$$ state $$Y_b(10890)$$, which we interpret as a bound (diquark-antidiquark) tetraquark state $$[bq][\bar{b}\bar{q}]$$, a dynamical model for the decays $$Y_b \to \Upsilon(1S)\; \pi^+\pi^-, \Upsilon(2S)\; \pi^+\pi^-$$ is presented. Depending on the phase space, these decays receive significant contributions from the scalar $$0^{++}$$ states, $$f_0(600)$$ and $$f_0(980)$$, and from the $$2^{++}$$ $$q\bar{q}$$-meson $$f_2(1270)$$. Our model provides excellent fits for the decay distributions, supporting $$Y_b$$ as a tetraquark state.

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### Connection between quark-model eigenstates and low-energy scattering

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### Author and article information

###### Journal
26 December 2009
2010-04-28
###### Article
10.1103/PhysRevLett.104.162001 10.1103/PhysRevLett.107.049903
0912.5016