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The inverse Compton scattering (ICS) model can explain various pulse profileshapes and diversity of pulse profile evolution based on the mechanism that theradio emission is generated through inverse Compton scattering betweensecondary relativistic particles and radio waves from polar gap avalanches. Inthis paper, we study the parameter space of ICS model for 15 pulsars, whichshare the common pulse profile evolution phenomena that the pulse profiles arenarrower at higher observing frequencies. Two key parameters, the initialLorentz factor and the energy loss factor of secondary particles areconstrained using the least square fitting method, where we fit the theoreticalcurve of the "beam-frequency mapping" of the ICS model to the observed pulsewidths at multiple frequencies. The uncertainty of the inclination and viewingangles are taken into account in the fitting process. It is found that theinitial Lorentz factor is larger than 4000, and the energy loss factor isbetween 20 and 560. The Lorentz factor is consistent with the prediction of theinner vacuum gap model. Such high energy loss factors suggest significantenergy loss for secondary particles at altitudes of a few tens to hundreds ofkilometers.

Constraint on parameters of the Inverse Compton Scattering model for radio pulsars