Phenomenological boldsymbol{bar{K}N} interaction with isospin-breaking effects

New strong coupled-channel $bar{K}N - pi Sigma$ potential, reproducing all existing experimental data and suitable for using in accurate few-body calculations, is constructed. Isospin breaking effects of direct inclusion of the Coulomb interaction and the use of physical masses in calculations are taken into account. The 1s level shift and width of kaonic hydrogen, consistent with the scattering data, was obtained and the corresponding strong K ^??? p scattering length was calculated. One- and two-pole forms of Λ(1405) resonance were considered.