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

Abstract

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 language	English
Pages (from-to)	269-283
Number of pages	15
Journal	Radiation Effects and Defects in Solids
Volume	152
Issue number	4
DOIs	https://doi.org/10.1080/10420150008213257
Publication status	Published - 1 Jan 2000
Externally published	Yes

Keywords

Channeling
Crystals
Hypersound
Positrons

ASJC Scopus subject areas

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

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10.1080/10420150008213257

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Grigoryan, L. S., Mkrtchyan, A. R., Khachatryan, B. V., Khachatryan, H. F., Prade, H., & Wagner, W. (2000). Quantum mechanical approach to planar positron channeling in a hypersonic field (I). Radiation Effects and Defects in Solids, 152(4), 269-283. https://doi.org/10.1080/10420150008213257

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abstract = "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.",

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T1 - Quantum mechanical approach to planar positron channeling in a hypersonic field (I)

AU - Grigoryan, L. Sh

AU - Mkrtchyan, A. R.

AU - Khachatryan, B. V.

AU - Khachatryan, H. F.

AU - Prade, H.

AU - Wagner, W.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

KW - Channeling

KW - Crystals

KW - Hypersound

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