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On kaonic hydrogen. Quantum field theoretic and relativistic covariant approach

  • A. N. Ivanov
  • M. Cargnelli
  • M. Faber
  • J. Marton
  • N. I. Troitskaya
  • J. Zmeskal
Article

Abstract.

We study kaonic hydrogen, the bound K - p state A K p . Within a quantum field theoretic and relativistic covariant approach we derive the energy level displacement of the ground state of kaonic hydrogen in terms of the amplitude of K - p scattering for arbitrary relative momenta. The amplitude of low-energy K - p scattering near threshold is defined by the contributions of three resonances \(\Lambda(1405)\), \(\Lambda(1800)\) and \(\Sigma^0(1750)\) and a smooth elastic background. The amplitudes of inelastic channels of low-energy K - p scattering fit experimental data on the near-threshold behaviour of the cross-sections and the experimental data by the DEAR Collaboration. We use the soft-pion technique (leading order in Chiral Perturbation Theory) for the calculation of the partial width of the radiative decay of pionic hydrogen \(A_{\pi p} \to n + \gamma\) and the Panofsky ratio. The theoretical prediction for the Panofsky ratio agrees well with experimental data. We apply the soft-kaon technique (leading order in Chiral Perturbation Theory) to the calculation of the partial widths of radiative decays of kaonic hydrogen \(A_{Kp} \to \Lambda^0 + \gamma\) and \(A_{K p} \to \Sigma^0 + \gamma\). We show that the contribution of these decays to the width of the energy level of the ground state of kaonic hydrogen is less than 1\(\%\).

Keywords

Hydrogen Experimental Data Energy Level Perturbation Theory Theoretical Prediction 
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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • A. N. Ivanov
    • 1
    • 2
  • M. Cargnelli
    • 1
    • 2
  • M. Faber
    • 1
    • 2
  • J. Marton
    • 1
    • 2
  • N. I. Troitskaya
    • 1
    • 2
  • J. Zmeskal
    • 1
    • 2
  1. 1.Atominstitut der Österreichischen Universitäten, Arbeitsbereich Kernphysik und Nukleare AstrophysikTechnische Universität WienWienAustria
  2. 2.Institut für MittelenergiephysikÖsterreichische Akademie der WissenschaftenWienAustria

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