Unraveling the Emission Geometry of the Fermi Millisecond Pulsars

Abstract

The nine millisecond pulsars (MSPs) that have now been detected by Fermi-LAT are providing an excellent opportunity to probe the emission geometry of these ancient compact objects. As they are radio-loud, one may use the relative phase lags across wavebands to obtain constraints on the orientation, size, and location of their radio and gamma-ray beams. We model the gamma-ray light curves using geometric outer gap (OG) and two-pole caustic (TPC) models, in addition to a pair-starved polar cap (PSPC) model which incorporates the full General Relativistic E-field. We find that most MSP light curves are fit by OG and TPC models, while PSPC is more appropriate for two others. The light curves of the newest discovery, PSR J0034-0534, are best modeled using outer magnetosphere OG / TPC models of limited extension for both radio and gamma-ray beams. We model the radio emission of the other eight MSPs using a fixed-altitude conal model at lower altitude. We lastly deduce values for inclination and observer angles (alpha and zeta), as well as the flux correction factor, in each case.