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The Complete Next-to-Leading Order Potential of \({{{\mathbf{B}}}^{{( * )}}}{{{\mathbf{\bar {B}}}}^{{( * )}}} \to {{{\mathbf{B}}}^{{( * )}}}{{{\mathbf{\bar {B}}}}^{{( * )}}}\)

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Abstract

We present one example of the complete next-to-leading order potential of a \({{B}^{{( * )}}}\) – \({{\bar {B}}^{{( * )}}}\) system for the partial waves \({{J}^{{PC}}}\) = 0++, 1++, 1+–, 2++. The potential is ready to be used in a Lippmann-Schwinger equation. Then a fit to data for the exotic states Zb(10610) and Zb(10650) should reveal important information about the convergence of the chiral expansion for the given system.

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ACKNOWLEDGMENTS

We acknowledge support by the National Natural Science Foundation of China (NSFC) and Deutsche Forschungsgemeinschaft through funds provided to the Sino-German Collaborative Research Center “Symmetries and the Emergence of Structure in QCD” (NSFC grant no. 11621131001, DFG grant no. TR110).

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  1. Forschungszentrum Jülich, Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, D-52425, Jülich, Germany

    Simon León Krug & Christoph Hanhart

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  1. Simon León Krug
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  2. Christoph Hanhart
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Correspondence to Simon León Krug or Christoph Hanhart.

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Krug, S.L., Hanhart, C. The Complete Next-to-Leading Order Potential of \({{{\mathbf{B}}}^{{( * )}}}{{{\mathbf{\bar {B}}}}^{{( * )}}} \to {{{\mathbf{B}}}^{{( * )}}}{{{\mathbf{\bar {B}}}}^{{( * )}}}\) . Bull. Lebedev Phys. Inst. 47, 334–338 (2020). https://doi.org/10.3103/S1068335620110032

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