Astrometric and photometric initial mass functions from the UKIDSS Galactic Clusters Survey - III. Praesepe

Over the past decades open clusters have been the subject of many studies. Such studies are crucial considering that the universality of the initial mass function is still a subject of current investigations. Praesepe is an interesting open cluster for the study of the stellar and substellar mass function (MF), considering its intermediate age and its nearby distance. Here we present the results of a wide-field, near-infrared study of Praesepe using the Data Release 9 of the United Kingdom Infrared Telescope Infrared Deep Sky Survey Galactic Clusters Survey. We obtained cluster candidates of Praesepe based on a 3 sigma astrometric and five-band photometric selection. We derived a binary frequency for Praesepe of 25.6 +/- 3.0 per cent in the 0.20.45 M-circle dot mass range, 19.6 +/- 3.0 per cent for 0.10.2 M-circle dot and 23.2 +/- 5.6 per cent for 0.07-0.1 M-circle dot. We also studied the variability of the cluster candidates of Praesepe, and we conclude that seven objects could be variable. We inferred the luminosity function of Praesepe in the Z and J bands and derived its MF. We observe that our determination of the MF of Praesepe differs from previous studies: while previous MFs present an increase from 0.6 to 0.1 M-circle dot, our MF shows a decrease. We looked at the MF of Praesepe in two different regions of the cluster, i.e. within and beyond 1 degrees.25, and we observed that both regions present an MF which decrease to lower masses. We compared our results with the Hyades, the Pleiades and alpha Per MF in the mass range 0.0720.6 M-circle dot and showed that the Praesepe MF is more similar to alpha Per although they are, respectively, of ages similar to 85 and similar to 600 Myr. Even though of similar age, the Praesepe remains different than the Hyades, with a decrease in the MF of only similar to 0.2 dex from 0.6 down to 0.1 M-circle dot, compared to similar to 1 dex for the Hyades.