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The aim of this work is to study the possible effects and biases on theradius constraints for rotation-powered millisecond pulsars when using Thomsonapproximation to describe electron scattering in the atmosphere models, insteadof using exact formulation for Compton scattering. We compare the differencesbetween the two models in the energy spectrum and angular distribution of theemitted radiation. We also analyse a self-generated synthetic phase-resolvedenergy spectrum, based on Compton atmosphere and the most X-ray luminousrotation-powered millisecond pulsars observed by the Neutron star InteriorComposition ExploreR (NICER). We derive constraints for the neutron starparameters using both the Compton and Thomson models. The results show that themethod works by reproducing the correct parameters with the Compton model.However, biases are found in size and the temperature of the emitting hot spot,when using the Thomson model. The constraints on the radius are still notsignificantly changed, and therefore the Thomson model seems to be adequate ifwe are interested only in the radius measurements using NICER.

Effects of Compton scattering on the neutron star radius constraints in rotation-powered millisecond pulsars