Abstract
Calculations based on the use of realistic potential of the system of crystallographic planes confirm earlier results on existence of resonances in reflection of relativistic electrons and positrons by the crystal surface, if the crystallographic planes are parallel to the surface.The physical reason of predicted phenomena, similar to the band structure of transverse energy levels, is connected with the Bloch form of the wave functions of electrons (positrons) near the crystallographic planes, which appears both in the case of planar channeling of relativistic electrons (positrons) and in reflection by a crystal surface. Calculations show that positions of maxima in reflection of relativistic electrons and positrons by crystal surface specifically depend on the angle of incidence with respect to the crystal surface and relativistic factor of electrons/positrons. These maxima form the Darwin tables similar to that in ultra-cold neutron diffraction.
| Original language | English |
|---|---|
| Pages (from-to) | 328-332 |
| Number of pages | 5 |
| Journal | Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms |
| Volume | 355 |
| DOIs | |
| Publication status | Published - 28 Jul 2015 |
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Keywords
- Darwin tables
- Grazing incidence on surfaces
- Resonances in reflection
- Small-angle scattering
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Instrumentation
Cite this
Quantum resonances in reflection of relativistic electrons and positrons. / Eykhorn, Yury Leonidovich; Korotchenko, K. B.; Pivovarov, Yu L.; Takabayashi, Y.
In: Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms, Vol. 355, 28.07.2015, p. 328-332.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum resonances in reflection of relativistic electrons and positrons
AU - Eykhorn, Yury Leonidovich
AU - Korotchenko, K. B.
AU - Pivovarov, Yu L.
AU - Takabayashi, Y.
PY - 2015/7/28
Y1 - 2015/7/28
N2 - Calculations based on the use of realistic potential of the system of crystallographic planes confirm earlier results on existence of resonances in reflection of relativistic electrons and positrons by the crystal surface, if the crystallographic planes are parallel to the surface.The physical reason of predicted phenomena, similar to the band structure of transverse energy levels, is connected with the Bloch form of the wave functions of electrons (positrons) near the crystallographic planes, which appears both in the case of planar channeling of relativistic electrons (positrons) and in reflection by a crystal surface. Calculations show that positions of maxima in reflection of relativistic electrons and positrons by crystal surface specifically depend on the angle of incidence with respect to the crystal surface and relativistic factor of electrons/positrons. These maxima form the Darwin tables similar to that in ultra-cold neutron diffraction.
AB - Calculations based on the use of realistic potential of the system of crystallographic planes confirm earlier results on existence of resonances in reflection of relativistic electrons and positrons by the crystal surface, if the crystallographic planes are parallel to the surface.The physical reason of predicted phenomena, similar to the band structure of transverse energy levels, is connected with the Bloch form of the wave functions of electrons (positrons) near the crystallographic planes, which appears both in the case of planar channeling of relativistic electrons (positrons) and in reflection by a crystal surface. Calculations show that positions of maxima in reflection of relativistic electrons and positrons by crystal surface specifically depend on the angle of incidence with respect to the crystal surface and relativistic factor of electrons/positrons. These maxima form the Darwin tables similar to that in ultra-cold neutron diffraction.
KW - Darwin tables
KW - Grazing incidence on surfaces
KW - Resonances in reflection
KW - Small-angle scattering
UR - http://www.scopus.com/inward/record.url?scp=84937859543&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84937859543&partnerID=8YFLogxK
U2 - 10.1016/j.nimb.2015.03.046
DO - 10.1016/j.nimb.2015.03.046
M3 - Article
VL - 355
SP - 328
EP - 332
JO - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms
JF - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms
SN - 0168-583X
ER -