Astronomy & Astrophysics

Table 1: Microlensing rate: the results for the predicted Einstein time. Case with disk and bar coplanar and bar velocity dispersion $\sigma _{{\rm b}} = 20.2$ km s^-1. For each observed MACHO event we report for the Einstein time (days): the observed value and the predicted median value with the two extremes of a 68% probability range around it. In the second and third column we report the position in the reference frame centered in the LMC as defined in Sect. 3.
Table 2: For each MACHO event located within or near the bar region, where the variation due to the change in the geometry turns out to be significant, we report for the Einstein time (days): the observed value and the predicted values for the three geometry configurations, bar coplanar with the disk, bar rotated by $40^{\circ }$ with respect to the disk plane and bar shifted by 0.5 kpc along the line of sight towards the observer. The left values are for a velocity dispersion of the bar component of $\sigma _{{\rm b}} = 20.2$ km s^-1 (as for the disk), whereas the right values are for $\sigma _{{\rm b}}$ = 30.0 km s^-1. We report also the values for the self-lensing optical depth in the direction of the events.