On kaonic hydrogen. Quantum field theoretic and relativistic covariant approach

Abstract

We study kaonic hydrogen, the bound K^-p state A_(Kp). Within a quantum field theoretic and relativistic covariant approach we derive the energy level displacement of the ground state of kaonic hydrogen in terms of the amplitude of K^-p scattering for arbitrary relative momenta. The amplitude of low-energy K^-p scattering near threshold is defined by the contributions of three resonances Lambda(1405), Lambda(1800) and Sigma^0(1750) and a smooth elastic background. The amplitudes of inelastic channels of low-energy K^-p scattering fit experimental data on near threshold behaviour of the cross sections and the experimental data by the DEAR Collaboration. We use the soft-pion technique (leading order in Chiral Perturbation Theory) for the calculation of the partial width of the radiative decay of pionic hydrogen A_(pi p) -> n + gamma and the Panofsky ratio. The theoretical prediction for the Panofsky ratio agrees well with experimental data. We apply the soft-kaon technique (leading order in Chiral Perturbation Theory) to the calculation of the partial widths of radiative decays of kaonic hydrogen A_(Kp) -> Lambda^0 + gamma and A_(Kp) -> Sigma^0 + gamma. We show that the contribution of these decays to the width of the energy level of the ground state of kaonic hydrogen is less than 1%.

arXiv comment33 pages, 1 figure, latex, References are added

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• Energy level displacement of excited np states of kaonic hydrogen
• Combined analysis of the $K^{+}{K}^{-}$ interaction using near threshold $pp\to pp{K}^{+}{K}^{-}$ data
• On kaonic hydrogen. Phenomenological quantum field theoretic model revisited
• On radiative np -> 1s + gamma transitions, induced by strong low-energy interactions,in kaonic atoms
• On Continuum- and Bound-State l^- Decay Rates of Pionic and Kaonic Hydrogen in the Ground State
• On the estimate of the sigma^(I = 1)_(KN)(0)-term value from the energy level shift of kaonic hydrogen in the ground state