Analytical solution for the de Broglie wave packet description of the neutron in subcritical transmission through a mirror

摘要

Theoretical solution for the de Broglie wave packet in subcritical condition for total reflection was obtained. The solution for the wave function shows characteristic features different from the results of the conventional plane wave analysis. The possibility to explain the reported anomalous reflection loss of ultracold neutrons in the storage experiment is indicated, and an estimation for the wave packet parameter from the magnitude of such a loss probability of 3 x 10(-5) for the beryllium bottle leads to the packet width of about 2 mum for the present solution of the de Broglie wave packet for the neutron. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 12]