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 $O(\alpha,m_d-m_u)$ 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.
Spectrum and decays of kaonic hydrogen
U. Meissner,U. Raha,A. Rusetsky
Published 2004 in The European Physical Journal C - Particles and Fields
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- Publication year
2004
- Venue
The European Physical Journal C - Particles and Fields
- Publication date
2004-02-25
- Fields of study
Physics
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