  The development of ideas about the optical phenomenon called the accelerating
matter effect led to the hypothesis of the existence of a very general
acceleration effect. Its formulation is that the result of the particle
interaction with any object moving with acceleration should be a change in its
energy and frequency. The validity of the acceleration effect hypothesis in
quantum mechanics has recently been confirmed by numerically solving a number
of problems related to the interaction of a wave packet with potential
structures moving with acceleration. If these ideas are true, they can be fully
attributed to the case of neutron scattering on the atomic nuclei of
accelerating matter. Since the time of neutron interaction with the nucleus is
very short, the observation of the acceleration effect during scattering by
nuclei requires them to move with a very high acceleration. This goal can be
achieved if centripetal acceleration is used.
