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Title: | The relative error of calculations at the Pöschl-Teller model potential for the planar channeled muon |
Authors: | Li, X. T. Korotchenko, Konstantin Borisovich Kunashenko, Yuriy Petrovich |
Keywords: | interaction of radiation with matter; X-ray generators and sources; излучения; рентгеновские источники; вещество; квантовая механика; каналирование; кристаллы; уровни энергии |
Issue Date: | 2018 |
Publisher: | IOP Publishing |
Citation: | Li X. T. The relative error of calculations at the Pöschl-Teller model potential for the planar channeled muon / X. T. Li, K. B. Korotchenko, Yu. P. Kunashenko // Journal of Instrumentation. — Bristol : IOP Publishing, 2018. — Vol. 13 : Radiation from Relativistic Electrons in Periodic Structures (RREPS-17) : XII International Symposium, 18-22 September, 2017, Hamburg, Germany : [proceedings]. — [C03019, 7 p.]. |
Abstract: | In the framework of quantum mechanics, we investigate muon channeling in the Si (200) crystal. The transverse energy levels and wave functions are obtained for the Pöschl-Teller and the Doyle-Turner potentials. Comparative analysis demonstrates that analytical results of calculations obtained on the base of the Pöschl-Teller potential are in a good agreement with the numerical results of calculations in the Doyle-Turner model for the low energy levels. These results for the muon with rest mass m[mu] and relativistic factor [gamma] are valid for any particle with elementary charge and rest mass m and relativistic factor [gamma][m]=[gamma](m[mu]/m). Therefore, our results can be useful for the preparation and performing the experimental investigation of the various phenomena accompanying particle channeling. |
URI: | http://earchive.tpu.ru/handle/11683/47268 |
Appears in Collections: | Материалы конференций |
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doi.org-10.1088-1748-0221-13-03-C03019.pdf | 304,22 kB | Adobe PDF | View/Open |
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