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Eisenbud-Wigner-Smith delay and the Larmor time give different estimates forthe duration of a quantum scattering event. The difference is most pronouncedin the case where de-Broglie wavelength is large compared to the size of thescatterer. We use the methods of quantum measurement theory to analyse bothapproaches, and to decide which one of them, if any, describes the duration aparticle spends in the region which contains the scattering potential. Thecases of transmission, reflection and three-dimensional elastic scattering arediscussed in some detail.

Quantum measurements and delays in scattering by zero-range potentials