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The origin of the Nuclear Star Cluster in the centre of our Galaxy is stillunknown. One possibility is that it formed after the disruption of stellarclusters that spiralled into the Galactic Centre due to dynamical friction. Wetrace the formation of the Nuclear Star Cluster around the central black hole,using state-of-the-art N-body simulations, and follow the dynamics of theneutron stars born in the clusters. We then estimate the number of MillisecondPulsars (MSPs) that are released in the Nuclear Star Cluster, during itsformation. The assembly and tidal dismemberment of globular clusters lead to apopulation of MSPs distributed over a radius of about 20 pc, with a peak near 3pc. No clustering is found on the sub-parsec scale. We simulate thedetectability of this population with future radio telescopes like the MeerKATradio telescope and SKA1, and find that about of order ten MSPs can be observedover this large volume, with a paucity of MSPs within the central parsec. Thishelps discriminating this scenario from the in-situ formation model for theNuclear Star Cluster that would predict an over abundance of MSPs closer to theblack hole. We then discuss the potential contribution of our MSP population tothe gamma-ray excess at the Galactic Centre.

Probing the formation history of the nuclear star cluster at the Galactic Centre with millisecond pulsars