The relative error of calculations at the Pöschl-Teller model potential for the planar channeled muon

Bibliographic Details
Parent link:Journal of Instrumentation
Vol. 13 : Radiation from Relativistic Electrons in Periodic Structures (RREPS-17).— 2018.— [C03019, 7 p.]
Main Author: Li X. T.
Corporate Author: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Other Authors: Korotchenko K. B. Konstantin Borisovich, Kunashenko Yu. P. Yuriy Petrovich
Summary:Title screen
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.
Published: 2018
Subjects:
Online Access:https://doi.org/10.1088/1748-0221/13/03/C03019
http://earchive.tpu.ru/handle/11683/47268
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=658115