Synchrotron radiation of a pulsar wind

We predict the synchrotron radiation from transient pulsars. The radiation is generated under the interaction of the magneto-dipole radiation with the relativistic electron-positron wind just after switching off of a radio pulsar. We calculate the spectrum and the flux of this radiation. The synchrotron radiation is estimated to observe from two nulling pulsars B1929+10 and B0656+14 on the level of several tens mJansky. The observed bright spiky emission of B0656+14 by Weltevrede et al. (Astron. Astrophys. 458:269, 2006) allows us to suggest that it has synchrotron nature. Observation of the synchrotron radiation gives possibility to determine the pulsar magnetic field and parameters and geometry of the pulsar wind.