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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 energylevel displacement of the ground state of kaonic hydrogen, investigated byMeissner, Raha and Rusetsky (EPJC 35, 349 (2004)) within the non-relativisticeffective Lagrangian approach based on ChPT by Gasser and Leutwyler. Ourresults agree well with those by Mei\ss ner et al.. In addition we calculatethe dispersive corrections, caused by the transition K^-p -> bar-K^0n ->K^-pwith the bar-K^0n pair on-mass shell. We show also how hypothesis on thedominant role of the bar-K^0n-cusp for the S-wave amplitude of low-energy K^-pscattering near threshold, used by Meissner et al., can be realized in ourapproach. The result agrees fully with that by Meissner et al..Comment: Latex, 24 pages, 1 figure, the manuscript is revise

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