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On kaonic hydrogen. Quantum field theoretic and relativistic covariant approach | | A. N. Ivanov
; M. Cargnelli
; M. Faber
; J. Marton
; N. I. Troitskaya
; J. Zmeskal
; | | Date: |
30 Oct 2003 | | Journal: | Eur.Phys.J. A21 (2004) 11-28 | | Subject: | Nuclear Theory; Atomic Physics | nucl-th hep-ph physics.atom-ph | | 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%. | | Source: | arXiv, nucl-th/0310081 | | Services: | Forum | Review | PDF | Favorites | |
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