Spectrum and decays of kaonic hydrogen

By U. Meissner, U. Raha, A. Rusetsky. 2004

148 citations recorded by the source corpus.

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.

Subfields: Geophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/10301e63d5852e94872ebce8e7ac042a83d6c1f8