Analytical model for the polarized radiation of accreting millisecond pulsars.

Abstract:  Pulse profiles of accreting millisecond pulsars (AMPs) can be used to determine neutron star parameters, such as their masses and radii, and therefore provide constraints on the equation of state of cold dense matter. Information obtained by the Imaging X-ray Polarimetry Explorer (IXPE) can be used to decipher pulsar inclination and magnetic obliquity, providing ever tighter constraints on other parameters. We provide an analytical model for the polarized emission coming from AMPs. We approximate the shock structure by an isothermal electron-dominated slab and apply exact Compton scattering formalism to estimate the polarimetric properties of the outcoming radiation. In the talk, I briefly introduce the model and show some simulation results, as well as the implications of the model to the IXPE prospects.