https://doi.org/10.1140/epja/i2004-10055-3
On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach
1
Atominstitut der Österreichischen Universitäten, Arbeitsbereich Kernphysik und Nukleare Astrophysik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria
2
Institut für Mittelenergiephysik Österreichische Akademie der Wissenschaften, Boltzmanngasse 3, A-1090, Wien, Austria
* e-mail: ivanov@kph.tuwien.ac.at
Received:
16
June
2004
Accepted:
6
December
2004
Published online:
7
December
2004
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 A Kd → 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.
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) –
© Società Italiana di Fisica and Springer-Verlag, 2004