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

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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-d → NY and K-d → NYπ, where Y = Σ±,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 AKd → NY and experimental data on the rates of the NY pair production in the reactions K-d → NY. 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.

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Authors and Affiliations

  1. Atominstitut der Österreichischen Universitäten, Arbeitsbereich Kernphysik und Nukleare Astrophysik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    A. N. Ivanov, M. Cargnelli, M. Faber, H. Fuhrmann, V. A. Ivanova, J. Marton, N. I. Troitskaya & J. Zmeskal

  2. Institut für Mittelenergiephysik Österreichische Akademie der Wissenschaften, Boltzmanngasse 3, A-1090, Wien, Austria

    A. N. Ivanov, M. Cargnelli, M. Faber, H. Fuhrmann, V. A. Ivanova, J. Marton, N. I. Troitskaya & J. Zmeskal

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  1. A. N. Ivanov
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  2. M. Cargnelli
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  3. M. Faber
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  4. H. Fuhrmann
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  5. V. A. Ivanova
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  6. J. Marton
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  7. N. I. Troitskaya
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  8. J. Zmeskal
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Correspondence to A. N. Ivanov.

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V.V. Anisovich

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Ivanov, A.N., Cargnelli, M., Faber, M. et al. On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach. Eur. Phys. J. A 23, 79–111 (2005). https://doi.org/10.1140/epja/i2004-10055-3

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  • DOI: https://doi.org/10.1140/epja/i2004-10055-3

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