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Recently it has become apparent that the Galactic center excess (GCE) isspatially correlated with the stellar distribution in the Galactic bulge. Thishas given extra motivation for the unresolved population of millisecond pulsars(MSPs) explanation for the GCE. However, in the "recycling" channel the neutronstar forms from a core collapse supernovae that undergoes a random "kick" dueto the asymmetry of the explosion. This would imply a smoothing out of thespatial distribution of the MSPs. We use N-body simulations to model how theMSP spatial distribution changes. We estimate the probability distribution ofnatal kick velocities using the resolved gamma-ray MSP proper motions, whereMSPs have random velocities relative to the circular motion with a scaleparameter of 77+/-6 km/s. We find that, due to the natal kicks, there is anapproximately 10% increase in each of the bulge MSP spatial distributiondimensions and also the bulge MSP distribution becomes less boxy but is stillfar from being spherical.

The effect of kick velocities on the spatial distribution of millisecond pulsars and implications for the Galactic center excess