Superdense beaming of axion dark matter in the vicinity of the light cylinder of pulsars

In this article we treat the non-adiabatic resonant photon-to-axion conversion of curvature radiation, synchrotron emission and inverse Compton scattering dominating the spectral density function of pulsars. First, we introduce state-of-the-art emission models and reference observational data. Relying on recurring idealizations in the literature, we derive an analytical expression that allows one to estimate the photon-axion oscillation probability across the light cylinder of the neutron star. Then, we estimate the dark matter flux induced by photon-to-axion conversion. We find that pulsars might produce axion overdensities many orders of magnitude over the occupation number of dark matter in the Galactic halo within a broad parameter space. We discuss axion-astronomy prospects and heterogeneous future lines.