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Heating ultracold neutrons by acoustic oscillations of the trap walls

А. С. Герасимов, V. K. Ignatovich, M.V. Kazarnovskii

Published Aug 1, 1973• 0 citations
OpenAlex

Abstract

The heating of ultracold neutrons by acoustic oscillation of the trap walls is theoretically examined. The probability of changing the neutron energy during collisions with oscillating walls are calculated classically and quantum mechanically. Kinetic equations describing the dependence on residence of the total number of neutrons in the trap are derived and solved. (tr-auth)

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The heating of ultracold neutrons by acoustic oscillation of the trap walls is theoretically examined. The probability of changing the neutron energy during collisions with oscillating walls are calculated classically and quantum mechanically. Kinetic equations describing the dependence on residence of the total number of neutrons in the trap are derived and solved. (tr-auth)
Abstract The problem of the interaction of ultracold neutrons with a neutron interference filter oscillating in space is investigated. In the problem, the evolution of the wave packet is considered by means of numerically solving the non-stationary Schrödinger equation by splitting the evolution operator. The filter oscillating in space acts as a quantum modulator of the ultracold neutron flux. The resulting spectra of the transmitted and reflected states are obtained depending on the motion parameters of the interferometer.