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29 March 2024
 
  » arxiv » nucl-th/0406053

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On kaonic deuterium. Quantum field theoretic and relativistic covariant approach
A.N.Ivanov ; M.Cargnelli ; M.Faber ; H.Fuhrmann ; V.A.Ivanova ; J.Marton ; N.I.Troitskaya ; J.Zmeskal ;
Date 16 Jun 2004
Journal Eur.Phys.J. A23 (2005) 79-111
Subject nucl-th hep-ph nucl-ex
AbstractWe study kaonic deuterium, the bound K^-d state A_{K 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 Lambda(1405), Sigma(1750) and a smooth elastic background, and the inelastic channels K^- d -> NY and K^- d -> NY pion, with Y = Sigma^{+/-}, Sigma^0 and Lambda^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 Gamma_{1s} = (630 +/-100) eV. For the shift of the energy level of the ground state of kaonic deuterium we predict epsilon_{1s} = (325 +/-60)eV.
Source arXiv, nucl-th/0406053
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