Particles accelerated in Hertzian magnetic dipole field of a pulsar

Supernova remnants are supposed to be the most possible sources of cosmic rays. However, alternative sources of cosmic rays, such as an active galactic nucleus, gamma-ray bursts, and pulsars, have not be excluded. In this study, we investigate the possibility of cosmic rays being generated by pulsars. The pulsar is simply described as a rotational magnetic dipole, the so-called Hertzian magnetic dipole, an exact solution of the d'Alembert equations. In the rotational magnetic dipole field, charged particles experience an accelerated electric field with their radiation reaction. The particles, which are initially static out of the light cylinder radius, can be accelerated up to a high energy.