Spectrum and decays of kaonic hydrogen

Details Spectrum and decays of kaonic hydrogen Spectrum and decays of kaonic hydrogen

2004-02-25

arxiv.org/abs/hep-ph/0402261v2

Eur.Phys.J. C35 (2004) 349-357

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 postscript figures, epj style. References added, minor revisions in the text, results unchanged

Scientific paper

10.1140/epjc/s2004-01859-4

By using the non-relativistic effective Lagrangian approach to bound states, a complete expression for the isospin-breaking corrections to the energy levels and the decay widths of kaonic hydrogen is obtained up-to-and-including O(alpha,m_d-m_u) in QCD. It is demonstrated that, although the leading-order corrections at O(alpha^{1/2},(m_d-m_u)^{1/2}) emerging due to the unitarity cusp, are huge, they can be expressed solely in terms of the KN S-wave scattering lengths. Consequently, at leading order, it is possible to derive parameter-free modified Deser-type relations, which can be used to extract the scattering lengths from the hadronic atom data.

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