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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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