Statistics of extinct radio pulsars

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Abstract
We study the statistical distribution of extinct radio pulsars at the stage of an ejector. An important element that distinguishes our study from other works is a consistent allowance for the evolution of the angle of inclination of the magnetic axis to the spin axis. We determined the distribution of extinct radio pulsars in spin period for two models: the model with hindered particle escape from the neutron-star surface and the model with free particle escape. The total number of extinct radio pulsars is shown to be much smaller than that in the model in which the evolution of the angle of axial inclination is disregarded. This is because when the evolution of the angle of axial inclination is taken into account, the transition to the stage of a propeller occurs at much shorter neutron-star spin periods (P ∼ 5–10 s) than assumed previously.

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