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The presence of some X-ray sources in the Galactic Centre region which showvariability, but do not show outbursts in over a decade of monitoring has beenused to argue for the presence of a large population of stellar mass blackholes in this region. A core element of the arguments that these objects areaccreting black holes is the claim that neutron stars (NSs) in low mass X-raybinaries (LMXBs) do not have long transient recurrence times. We demonstrate inthis paper that about half of the known transient LMXBs with clear signaturesfor NS primaries have recurrence times in excess of a decade for outbursts atthe sensitivity of MAXI. We furthermore show that, in order to reconcile theexpected total population of NS LMXBs with the observed one and with themillisecond radio pulsar (MSRP) population of the Galaxy, systems withrecurrence times well in excess of a century for outbursts detectable byinstruments like MAXI must be the dominant population of NS LMXBs, and that fewof these systems have yet been discovered.

On the recurrence times of neutron star X-ray binary transients and the nature of the Galactic Centre quiescent X-ray binaries