Maximum possible energies of electrons accelerated in magnetospheres of rotating black holes
Abstract
Our aim is to evaluate the maximum attainable energies of electrons accelerated by means of the magneto-centrifugal mechanism. We examine how the range of maximum possible energies, as well as the primary limiting factors, vary with black hole mass. Additionally, we analyse the dependence of the maximum relativistic factor on the initial distance from the black hole and its spin factor in the range 0.1 - 0.2. We model the acceleration of electrons on rotating magnetic field lines and apply several constraining mechanisms: the inverse Compton scattering, curvature radiation, and the breakdown of the bead-on-the-wire approximation. As a result, the maximum Lorentz factors for electron acceleration vary with the type of black hole. For stellar-mass black holes, electrons can be accelerated up to the Lorentz factors 1.3 * 103 - 1.3 * 104 with only co-rotation constrain affecting the maximum relativistic factor; In intermediate-mass black holes, the Lorentz factors are in the interval 1.3 * 104 - 1.1 * 105; For the supermassive black holes the Lorentz factors range from 7 * 104 to 1.7 * 105; while the ultra-massive black hole located at the center of Abell 1201 can accelerate electrons up to 106 with both the co-rotation and Inverse Compton in Thomson regime determining the final Lorentz factor for the last three categories.
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