On isospin-breaking corrections to the energy level displacement of the ground state of kaonic hydrogen

Abstract

In the model of low-energy bar-K N interactions near threshold (EPJA 21, 11 (2004); 25, 79 (2005)) we calculate isospin-breaking corrections to the energy level displacement of the ground state of kaonic hydrogen, investigated by Meissner, Raha and Rusetsky (EPJC 35, 349 (2004)) within the non-relativistic effective Lagrangian approach based on ChPT by Gasser and Leutwyler. Our results agree well with those by Meißner et al.. In addition we calculate the dispersive corrections, caused by the transition K^-p -> bar-K^0n ->K^-p with the bar-K^0n pair on-mass shell. We show also how hypothesis on the dominant role of the bar-K^0n-cusp for the S-wave amplitude of low-energy K^-p scattering near threshold, used by Meissner et al., can be realized in our approach. The result agrees fully with that by Meissner et al..

arXiv commentLatex, 24 pages, 1 figure, the manuscript is revised

References in corpus (7)

• Spectrum and decays of kaonic hydrogen
• Ground-state energy of pionic hydrogen to one loop
• Effective quark model with chiral U(3)XU(3) symmetry for baryon octet and decuplet
• On pionic hydrogen. Quantum field theoretic, relativistic covariant and model-independent approach
• Energy level displacement of excited np states of kaonic hydrogen
• Scalar meson dynamics in Chiral Perturbation Theory
• On radiative np -> 1s + gamma transitions, induced by strong low-energy interactions,in kaonic atoms

Cited by in corpus (2)

• On kaonic hydrogen. Phenomenological quantum field theoretic model revisited
• On the estimate of the sigma^(I = 1)_(KN)(0)-term value from the energy level shift of kaonic hydrogen in the ground state