SELECTION OF AN ADEQUATE INTERACTION POTENTIAL TO DESCRIBE PLANE CHANNELING OF RELATIVISTIC PARTICLES
https://doi.org/10.26583/vestnik.2024.311
EDN: CODOPS
Abstract
The work considers planar channeling of relativistic particles in a comoving frame of reference moving at a speed equal to the longitudinal component of the velocity of the channeled particle. In SSO, the motion of a particle during planar channeling will be one-dimensional, and for electrons and positrons with energies up to several GeV it will be non-relativistic, as in the hydrogen atom. potential from transverse coordinates. To determine the main characteristics of such a movement, it is proposed to use approximate Bohr-Sommerfeld quantization methods, which make it possible to make such a calculation analytically. The approximate method for calculating quantum states can be extended to consider transverse motion beyond the nonrelativistic approximation, even in a comoving frame. The energy distributions of permissible states of transverse finite motion are found for several variants of model potentials. It is shown that, despite the difference in the structure of energy levels, the average distances between energy levels are practically insensitive to the choice of model potential. The energies of the transverse motion levels are found for the case when the nonrelativistic approximation is not applicable even in the comoving reference frame.
Keywords
coherent interaction,
channeling,
single crystal,
accompanying reference frame,
electromagnetic radiation,
quantum mechanics,
gamma radiation.
Supporting agencies: The work was carried out within the framework of the Strategic Academic Leadership Program "PRIORITY 2030".
About the Authors
N. P. Kalashnikov
National Research Nuclear University «MEPhI»
Russian Federation
Russian Federation
A. S. Olchak
National Research Nuclear University «MEPhI»
Russian Federation
Russian Federation
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Review
For citations:
Kalashnikov N.P., Olchak A.S. SELECTION OF AN ADEQUATE INTERACTION POTENTIAL TO DESCRIBE PLANE CHANNELING OF RELATIVISTIC PARTICLES. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2024;13(1):3–10. (In Russ.) https://doi.org/10.26583/vestnik.2024.311. EDN: CODOPS
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