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It is shown, that the energy dependence of the chiral based $\bar{K}N$potentials, responsible for the occurrence of two poles in the $I=0$ sector, isthe consequence of applying the on-shell factorization introduced in [E. Oset,A. Ramos, Nucl. Phys. A 635(1998)99]. When the dynamical equation is solvedwithout this approximation, the $T$-matrix has only one pole in the energyregion of the $\Lambda(1405)$ resonance.

Are the chiral based $\bar{K}N$ potentials really energy dependent?