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We apply a synchro-curvature spectral emission model based on characterizingthe dynamics of magnetospheric particles to fit the phase-average spectra ofthe most extended database for the non-thermal spectra of pulsars. We consider36 pulsars with well-determined non-thermal spectra from X-rays to gamma-rays.The sample includes Crab and Crab twin, for which the spectra extends even tothe optical/ultraviolet and infrared energies. We find that the model --withjust three physical parameters and a global scaling-- can fit the observationswell across eight orders of magnitude for 18 of the 36 pulsars studied.Additionally, we find a set of 8 pulsars for which the model still providesarguably good fits and another set of 10 pulsars for which the model fails inreproducing the spectra. We discuss why, propose and provide physicalinterpretations for a simple model extension (related to the geometry of theaccelerating system with regards to the observer) that allows dealing with allsuch cases, ultimately providing very good fits for all pulsars. The extendedmodel is still austere, adding only two additional parameters to the formerset, of the same kind of the ones previously used. We use these fits to discussissues going from the observed spectral origin, to the extent of the dominanceof synchrotron or curvature regimes, the use of a model as predictor forsearching new non-thermal pulsars starting from gamma-ray surveys, and how themodel offers a setting where phase shifts between X-ray and gamma-ray lightcurves would naturally arise.

Synchro-curvature modelling of the multi-frequency non-thermal emission of pulsars