Quantum-mechanical approach to planar positron channeling in a longitudinal hypersonic field

The wave function of a planar-channeled positron with energy 10 MeV less th an or equal to E 100 MeV under the resonant influence of hypersound is calc ulated. It is found that the longitudinal hypersound changes the spectral d istribution of the channeling radiation significantly. With decreasing wave length lambda (s) of the hypersound, starting from lambda (s) = lambda (E), where lambda (E) is the characteristic length related to one transverse os cillation of the channeled positron, a new type of radiative transition occ urs. It is characterized by the stimulated enhancement of transverse energy of the positron at channeling (inverse radiative transition). When lambda (s) approaches lambda (E)/2 the inverse transitions show a resonant behavio ur. (C) 2001 Elsevier Science B.V. All rights reserved.