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Spectrum and decays of kaonic hydrogen

  • theoretical physics
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Abstract.

By using the non-relativistic effective Lagrangian approach to bound states, a complete expression for the isospin-breaking corrections to the energy levels and the decay widths of kaonic hydrogen is obtained up-to-and-including \(O(\alpha,m_d-m_u)\) in QCD. It is demonstrated that, although the leading-order corrections at \(O(\alpha^{1/2},(m_d-m_u)^{1/2})\) emerging due to the unitarity cusp are huge, they can be expressed solely in terms of the KN S-wave scattering lengths. Consequently, at leading order, it is possible to derive parameter-free modified Deser-type relations, which can be used to extract the scattering lengths from the hadronic atom data.

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Authors and Affiliations

  1. Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, Nußallee 14-16, 53115, Bonn, Germany

    U.-G. Meißner, U. Raha & A. Rusetsky

  2. Institut für Kernphysik (Theorie), Forschungszentrum Jülich, 52425, Jülich, Germany

    U.-G. Meißner

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  1. U.-G. Meißner
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  2. U. Raha
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  3. A. Rusetsky
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A. Rusetsky: On leave of absence from HEPI, Tbilisi State University, University st. 9, 380086 Tbilisi, Georgia

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Meißner, UG., Raha, U. & Rusetsky, A. Spectrum and decays of kaonic hydrogen. Eur. Phys. J. C 35, 349–357 (2004). https://doi.org/10.1140/epjc/s2004-01859-4

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  • DOI: https://doi.org/10.1140/epjc/s2004-01859-4

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