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On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach

  • A. N. IvanovEmail author
  • M. Cargnelli
  • M. Faber
  • H. Fuhrmann
  • V. A. Ivanova
  • J. Marton
  • N. I. Troitskaya
  • J. Zmeskal
Article

Abstract.

We study kaonic deuterium, the bound K-d state AK d. Within a quantum field-theoretic and relativistic covariant approach we derive the energy level displacement of the ground state of kaonic deuterium in terms of the amplitude of K-d scattering for arbitrary relative momenta. Near threshold our formula reduces to the well-known DGBT formula. The S-wave amplitude of K-d scattering near threshold is defined by the resonances Λ(1405), Σ(1750) and a smooth elastic background, and the inelastic channels K-dNY and K-dNYπ, where Y = Σ±{0} and Λ{0}, where the final-state interactions play an important role. The Ericson-Weise formula for the S-wave scattering length of K-d scattering is derived. The total width of the energy level of the ground state of kaonic deuterium is estimated using the theoretical predictions of the partial widths of the two-body decays AKdNY and experimental data on the rates of the NY pair production in the reactions K-dNY. We obtain Γ{1s} = (630±100)eV. For the shift of the energy level of the ground state of kaonic deuterium we predict ε{1s} = (325±60)eV.

PACS.

11.10.Ef Lagrangian and Hamiltonian approach 11.55.Ds Exact S matrices 13.75.Gx Pion-baryon interactions 36.10.-k Exotic atoms and molecules (containing mesons, muons, and other unusual particles) 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2004

Authors and Affiliations

  • A. N. Ivanov
    • 1
    • 2
    Email author
  • M. Cargnelli
    • 1
    • 2
  • M. Faber
    • 1
    • 2
  • H. Fuhrmann
    • 1
    • 2
  • V. A. Ivanova
    • 1
    • 2
  • J. Marton
    • 1
    • 2
  • N. I. Troitskaya
    • 1
    • 2
  • J. Zmeskal
    • 1
    • 2
  1. 1.Atominstitut der Österreichischen UniversitätenArbeitsbereich Kernphysik und Nukleare Astrophysik, Technische Universität Wien, Wiedner Hauptstr. 8-10WienAustria
  2. 2.Institut für Mittelenergiephysik Österreichische Akademie der WissenschaftenBoltzmanngasse 3WienAustria

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