Dielectric Model of Energy Losses by a Massive Charged Particle Moving Through Cold Magnetized Plasma

Abstract

Energy losses by a charged particle moving in infinite magnetized plasma have been calculated in the framework of the dielectric model and with the use of the correspondence principle. This principle enabled us not to use a phenomenological cutoff parameter for matching with the theory of binary collisions. Analytical expressions for energy losses were derived for the motions of a particle directed along and perpendicularly to the magnetic field. They were confirmed by numerical calculations for a charged particle moving in a magnetic field of an arbitrary strength and at an arbitrary angle to the field direction. The results obtained are compared with those obtained in quantum field theory. K e y w o r d s: dielectric model, cutoff parameter, energy losses, principle of correspondence, binary collisions, magnetized plasma.

A cascade ofe−e+pair production by a photon with subsequent annihilation to a single photon in a strong magnetic field

“…According to the expressions ( 31), (36), the ratio of the resonant and nonresonant rates can be found as…”

“…It should be noted that the methods of quantum field the ory (QFT) [34][35][36], in particular the optical theorem, can be applied to the problem of a heavy charged particle passing through a magnetized electron gas, which is related to the method of electron cooling. In this method the emittance of a heavy charged particle beam is reduced due to collisions with electrons which have a small velocity spread [37][38][39].…”

Soliton-like solutions in scattering of electrons by an ion in magnetized plasma

“…It should be noted that there is no complete analytical description of the influence of the sign of the charged particles on the friction force for an arbitrary value of a magnetic field. Only numerical calculations and simulations have been performed [14][15][16][17][18][19][20].…”