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On the \(\pi\pi\) continuum in the nucleon form factors and the proton radius puzzle

  • Regular Article - Theoretical Physics
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Abstract.

We present an improved determination of the \(\pi\pi\) continuum contribution to the isovector spectral functions of the nucleon electromagnetic form factors. Our analysis includes the most up-to-date results for the \(\pi\pi\rightarrow\bar{N} N\) partial waves extracted from Roy-Steiner equations, consistent input for the pion vector form factor, and a thorough discussion of isospin-violating effects and uncertainty estimates. As an application, we consider the \(\pi\pi\) contribution to the isovector electric and magnetic radii by means of sum rules, which, in combination with the accurately known neutron electric radius, are found to slightly prefer a small proton charge radius.

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Authors and Affiliations

  1. Institute for Nuclear Theory, University of Washington, 98195-1550, Seattle, WA, USA

    M. Hoferichter

  2. Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

    B. Kubis, J. Ruiz de Elvira & U. -G. Meißner

  3. Institut für Kernphysik, Technische Universität Darmstadt, D-64289, Darmstadt, Germany

    H. -W. Hammer

  4. ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291, Darmstadt, Germany

    H. -W. Hammer

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

    U. -G. Meißner

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  1. M. Hoferichter
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  2. B. Kubis
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  3. J. Ruiz de Elvira
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  4. H. -W. Hammer
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  5. U. -G. Meißner
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Correspondence to M. Hoferichter.

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Communicated by B. Ananthanarayan

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Hoferichter, M., Kubis, B., Ruiz de Elvira, J. et al. On the \(\pi\pi\) continuum in the nucleon form factors and the proton radius puzzle. Eur. Phys. J. A 52, 331 (2016). https://doi.org/10.1140/epja/i2016-16331-7

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