  We examine how the signature of the strange dibaryon resonances shows up in
scattering amplitudes and observables of the three-body $\bar{K}NN$-$\pi Y N
(Y=\Sigma, \Lambda)$ system on the physical real energy axis. The so-called
point method is applied to handle logarithmic singularities that appear in
solving the Alt-Grassberger-Sandhas equations for the real scattering energies.
By taking two different kinds of models for the two-body $\bar{K}N$-$\pi
\Sigma$ subsystem, both of which reproduce the available data equally well but
give quite a different resonance-pole structure for $\Lambda(1405)$, we also
investigate whether the strange-dibaryon production reactions can be used for
disentangling the nature of $\Lambda(1405)$.
