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Reflection of cold neutrons from thin films, when the free neutron wave function is supposed to be the de Broglie singular wave-packet, is considered. Small corrections to interference pattern for the reflection dependence on the packet width is found. This correction for the case, when the width of the packet extracted from ultra cold neutrons anomaly, is calculated. The correction is shown can also be represented as a small contribution of incoherent reflection from interfaces of the film. The magnitude of this contribution is computed.