Hs. Zhao et Pt. Dezeeuw, THE MICROLENSING RATE AND MASS FUNCTION VERSUS DYNAMICS OF THE GALACTIC BAR, Monthly Notices of the Royal Astronomical Society, 297(2), 1998, pp. 449-461
With the steady increase of the sample size of observed microlenses to
wards the central regions of the Galaxy, the main source of the uncert
ainty in the lens mass will shift from the simple Poisson noise to the
intrinsic non-uniqueness of our dynamical models of the inner Galaxy,
particularly the Galactic bar. We use a set of simple self-consistent
bar models to investigate how the microlensing event rate varies as a
function of axis ratio, bar angle and velocity distribution. The non-
uniqueness of the velocity distribution of the bar model adds a signif
icant uncertainty (by about a factor of 1.5) to any prediction of the
lens mass. Kinematic data and self-consistent models are critical to l
ift the non-uniqueness. We discuss the implications of these results f
or the interpretation of microlensing observations of the Galactic bul
ge. In particular we show that Freeman bar models scaled to the mass o
f the Galactic bulge/bar imply a typical lens mass of around 0.8 M., a
factor of 3-5 times larger than the value from other models.