The Appearance of a Radio-Pulsar Magnetosphere from a Vacuum with a Strong Magnetic Field. Accumulation of Particles
Ya. N. Istomin (LPI), D. N. Sob'yanin (MIPT)

TL;DR
This paper investigates how electron-positron pairs accumulate in a neutron star's magnetosphere, leading to a dense plasma layer through oscillations, energy losses, and pair creation processes.
Contribution
It demonstrates the formation of a charge-separated plasma layer in the magnetosphere due to particle oscillations and pair creation, a novel insight into pulsar magnetosphere dynamics.
Findings
Particles undergo ultra-relativistic oscillations with frequencies of 10-100 MHz.
Oscillations decay to 1-10 GHz due to radiation losses.
A dense plasma layer forms at the force-free surface, filling the magnetosphere rapidly.
Abstract
The accumulation of electrons and positrons in the vacuum magnetosphere of a neutron star with a surface magnetic field of B~10^12 G is considered. It is shown that particles created in the magnetosphere or falling into the magnetosphere from outside undergo ultra-relativistic oscillations with a frequency of 10-100 MHz. These oscillations decay due to energy losses to curvature radiation and bremsstrahlung, with their frequencies reaching 1-10 GHz. Simultaneously, the particles undergo regular motion along the force-free surface along closed trajectories. This leads to the gradual accumulation of particles at the force-free surface and the formation of a fully charge-separated plasma layer with a density of the order of the Goldreich-Julian density. The presence of a constant source of electron-positron pairs in the magnetosphere due to the absorption of energetic cosmic gamma-rays…
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