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There is evidence in the 125-Myr Pleiades cluster, and more recently in the5-Myr NGC 2264 cluster, that rotation plays a key role in the Lithium (Li)depletion processes among low-mass stars. Fast rotators appear to be lessLi-depleted than equal-mass slow rotators. We intend to explore the existenceof a Li depletion - rotation connection among the beta Pictoris members at anage of about 24 Myr, and to use such correlation either to confirm or toimprove the age estimate based on the Lithium Depletion Boundary (LDB)modeling. We have photometrically monitored all the known members of the betaPictoris association with at least one Lithium equivalent width (Li EW)measurement from the literature. We measured the rotation periods of 30 membersfor the first time and retrieved from the literature the rotation periods forother 36 members, building a catalogue of 66 members with measured rotationperiod and Li EW. We find that in the 0.3 < M < 0.8 Msun range, there is astrong correlation between rotation and Li EW. For higher mass stars, nosignificant correlation is found. For very low mass stars in the Li depletiononset, at about 0.1 Msun, data are too few to infer a significant correlation.The observed Li EWs are compared with those predicted by the Dartmouth stellarevolutionary models that incorporate the effects of magnetic fields. Afterdecorrelating the Li EW from the rotation period, we find that the hot side ofthe LDB is fitted well by Li EW values corresponding to an age of 25$\pm$3 Myrin good agreement with independent estimates from the literature.

The rotation - Lithium depletion correlation in the beta Pictoris association and LDB age determination