Crystal excitations features in the photon emission spectrum of the quantum channeled particle

TL;DR

This paper explores the photon emission spectrum of quantum channeled particles in crystals, focusing on phonon and plasmon excitations, and develops a theory describing their emission processes and spectral features.

Contribution

It introduces a theoretical framework for photon emission associated with crystal excitations caused by channeled particles, including plasmon and phonon interactions.

Findings

Photon emission energy relates to quantized transverse motion levels.

Plasmon energy influences photon emission characteristics.

The theory accounts for weak plasmon dispersion in crystals.

Abstract

The processes of generation of phonons and electron excitations with quantum oriented particle in crystal are considered. Expressions are obtained for the probability of emission of phonons and plasmons with channeled particle. The theory of the processes of the crystal excitation with the channeled particle, accompanied by the simultaneous emission of a photon is developed. It is proved that all the specific features of the electron and phonon crystal excitation structure appear as components of radiation of the oriented fast charged particle. The photon emission of a quantum channeled particle, accompanied by a plasmon excitation in a crystal target is considered. It is taken into account that the plasmon energy in the crystal is of the same order with the depth of the potential well in which the channeled particle moves. A weak dispersion of the plasmons in the crystal is taken into account, which leads to the selection of the fixed plasmon energy. It is shown that fast charged particle in the rest frame emits photons with an energy equal to the energy difference between two quantized levels of transverse motion with the deduction of the net plasmon energy. The characteristics of photon-plasmon radiation are investigated.