On channeling of charged particles in a single dielectric capillary

TL;DR

This paper analytically investigates how charged particles move within a single dielectric capillary, revealing conditions for surface channeling due to effective potentials involving atomic and collective surface excitations.

Contribution

It introduces a new analytical model for the effective potential governing charged particle motion in dielectric capillaries, highlighting the role of surface excitations in channeling.

Findings

Identified conditions for attractive potential leading to bound states.

Revealed two limits for potential well or barrier formation based on plasmon and particle motion frequencies.

First analytical evaluation of induced potential considering collective surface excitations.

Abstract

We analytically analyse the motion of a nonrelativistic charged particle in a cylindrical single capillary. The effective potential for interaction of a charged particle with the inner surface of a capillary is derived as a sum of the averaged atomic potential of the capillary wall surface and the induced potential defined by collective surface excitations. We have shown that under certain conditions this potential becomes attractive and may hold a particle in a bound state due to the surface excitations that defines a so-called surface channeling regime of motion. For the first time we have evaluated the induced potential revealing two limits to form either a well or a barrier that are delineated by the ratio of the insulator plasmon frequency to the frequency defined by the particle motion in a capillary.