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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

           R. Jaffe,  F. E. Low (1979)
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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

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            DESY 09-222
            Phys.Rev.Lett.104:162001,2010; Erratum-ibid.107:049903,2011
            4 pages, 2 figures, 3 tables; Abstract and Figures 1 & 2 modified; small changes in the text; some references added; version corresponds to the journal article
            hep-ph hep-ex

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