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We investigate specific features in the Wigner time behavior for slowelectron elastic scattering by shallow potential wells. We considered two typesof potentials wells, the small changes in the parameters of which lead toarising bound states in the well. It appeared that the time delay forattractive potential wells with no bound levels always has a positive value forsmall electron energies and changes sign after level arising in the well. Atthe moment of arising the times delay has a jump. The value of this jump is asmore as less is the difference in the potential well depth from its criticalvalue. The values of times delay strongly depend on geometrical sizes ofpotential wells.

Special features of Wigner times delay in slow elastic electron scattering by shallow potential well