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 | |
| Publication status | Published - 1 Jan 2000 |
| Externally published | Yes |
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Keywords
- Channeling
- Crystals
- Hypersound
- Positrons
ASJC Scopus subject areas
- Radiation
- Nuclear and High Energy Physics
- Materials Science(all)
- Condensed Matter Physics
Cite this
Quantum mechanical approach to planar positron channeling in a hypersonic field (I). / Grigoryan, L. Sh; Mkrtchyan, A. R.; Khachatryan, B. V.; Khachatryan, H. F.; Prade, H.; Wagner, W.
In: Radiation Effects and Defects in Solids, Vol. 152, No. 4, 01.01.2000, p. 269-283.Research output: Contribution to journal › Article
}
TY - JOUR
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
KW - Positrons
UR - http://www.scopus.com/inward/record.url?scp=0013139306&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0013139306&partnerID=8YFLogxK
U2 - 10.1080/10420150008213257
DO - 10.1080/10420150008213257
M3 - Article
VL - 152
SP - 269
EP - 283
JO - Radiation Effects and Defects in Solids
JF - Radiation Effects and Defects in Solids
SN - 1042-0150
IS - 4
ER -