Acceleration of electrons in an internal zone of the pulsar electron cap

Acceleration of a cold collisionless electron gas in the magnetosphere of a magnetic rotating neutron star is considered. The magnetic field is dipolar. The magnetic axis and a rotational axis are aligned. It is shown that the acceleration channel consists of three zones: an internal acceleration zone (IAZ), an inertial zone and an external acceleration zone (EAZ). In the internal zone electrons are accelerated up to a Lorentz factor of the order of 10²–10³. In the inertial zone electrons are not accelerated; they move under their own momentum through static electron gas of low density. In the external zone the electrons are accelerated again. Here the acceleration of electrons in the internal zone is investigated. The Lorentz factor of electrons was calculated. Its dependence upon the colatitude of the ejected electrons and upon the neutron star parameters was investigated. The power consumed by electrons in the internal acceleration zone is also calculated.