Spectrum and decays of kaonic hydrogen
Ulf-G. Meissner, Udit Raha, Akaki Rusetsky
Abstract
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,md-mu) in QCD. It is demonstrated that, although the leading-order corrections at O(alpha1/2,(md-mu)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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