  We argue that due to isospin and U-spin invariance of strong low-energy
interactions the S-wave scattering lengths a^0_0 and a^1_0 of bar-KN scattering
with isospin I=0 and I = 1 satisfy the low-energy theorem a^0_0 + 3 a^1_0 = 0
valid to leading order in chiral expansion. In the model of strong low-energy
bar-KN interactions at threshold (EPJA 21,11 (2004)) we revisit the
contribution of the Sigma(1750) resonance, which does not saturate the
low-energy theorem a^0_0 + 3 a^1_0 = 0, and replace it by the baryon background
with properties of an SU(3) octet. We calculate the S-wave scattering
amplitudes of K^-N and K^-d scattering at threshold. We calculate the energy
level displacements of the ground states of kaonic hydrogen and kaonic
deuterium. The result obtained for kaonic hydrogen agrees well with recent
experimental data by the DEAR Collaboration. We analyse the cross sections for
elastic and inelastic K^-p scattering for laboratory momenta of the incident
K^- meson from the domain 70 MeV/c < p_K < 150 MeV/c. The theoretical results
agree with the available experimental data within two standard deviations.

Nuclear Theory;High Energy Physics - Experiment;High Energy Physics - Phenomenology;Atomic Physics