On kaonic deuterium. Quantum field theoretic and relativistic covariant approach

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) = (353 +/-60)eV.

73 pages,10 figures, Latex, We have slightly corrected the contribution of the double scattering. The change of the S-wave scattering length of K^-d scattering does not go beyond the theoretical uncertainty, which is about 18%

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• Effective quark model with chiral U(3)XU(3) symmetry for baryon octet and decuplet
• On kaonic hydrogen. Quantum field theoretic and relativistic covariant approach
• On pionic hydrogen. Quantum field theoretic, relativistic covariant and model-independent approach
• On the ${\Lambda }_c^{+}$ -> p + K^- + ${\pi }^{+}$ decay
• Energy level displacement of the excited nl state of pionic hydrogen
• On the D-wave state component of the deuteron in the Nambu-Jona-Lasinio model of light nuclei

Cited by in corpus (9)

• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory
• Energy level displacement of excited np states of kaonic hydrogen
• Energy Level Displacement of Excited np State of Kaonic Deuterium In Faddeev Equation Approach
• On kaonic hydrogen. Phenomenological quantum field theoretic model revisited
• On radiative np -> 1s + gamma transitions, induced by strong low-energy interactions,in kaonic atoms
• Kaonic atoms in QCD
• Electrodisintegration of Deuteron into Dark Matter and Proton Close to Threshold
• On the estimate of the sigma^(I = 1)_(KN)(0)-term value from the energy level shift of kaonic hydrogen in the ground state