Quantum mechanical approach to planar positron channeling in a hypersonic field (I)

L. Sh Grigoryan, A. R. Mkrtchyan, B. V. Khachatryan, H. F. Khachatryan, H. Prade, W. Wagner

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The solutions of the Dirac equation for a positron channeled in a single crystal which is excited by a longitudinal hypersonic wave have been obtained for the energy interval of 10 MeV < E ≤ 100 MeV, and the resonance condition for the interaction between hyper-sound and positron was deduced. It is shown that the total intensity of the channeling radiation emitted by the relativistic positron in the hypersonic field is formed by the partial intensities of several dominating radiative transitions for which the appropriate conservation law and the Doppler shift of the photon frequency have been determined. Owing to the hypersound the transverse energy of the positron may increase which leads to a larger bandwidth of the emitted lines.

Original languageEnglish
Pages (from-to)269-283
Number of pages15
JournalRadiation Effects and Defects in Solids
Issue number4
Publication statusPublished - 1 Jan 2000
Externally publishedYes


  • Channeling
  • Crystals
  • Hypersound
  • Positrons

ASJC Scopus subject areas

  • Radiation
  • Nuclear and High Energy Physics
  • Materials Science(all)
  • Condensed Matter Physics

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