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We study the behavior with the number of colors ($N_c$) of the$\Lambda(1405)$ and $\Lambda(1670)$ resonances obtained dynamically within thechiral unitary approach. The leading order meson-baryon interaction, used asthe kernel of the unitarization procedure, manifests a nontrivial $N_c$dependence of the flavor SU(3) representation for baryons. As a consequence,the SU(3) singlet (or $\bar{K}N$) component of the $\Lambda(1405)$ statesremains bound in the large $N_c$ limit, while the other components dissolveinto the continuum. Introducing explicit SU(3) breaking, we obtain the $N_c$dependence of the excitation energy, masses and widths of the physical$\Lambda(1405)$ and $\Lambda(1670)$ resonance. The $N_c$ behavior of the decaywidth is found to be different from the general counting rule for a $qqq$state, indicating the dynamical origin of these resonances.

On the nature of the $\Lambda(1405)$ and $\Lambda(1670)$ from their $N_c$ behavior in chiral dynamics