Microlensing of halo objects in the exterior part of the Galaxy

In the context of this paper, microlenses present as oblate clusters of dark matter structures called massive astrophysical compact halo object(MACHO) in the galactic halo are considered. The NFW density profile [1] is derived from the observational data and works best in the halo region of the exterior part of the galaxy. Hence this profile is used to plot the potential, deflection angle, and critical and caustic curves for the aforementioned microlenses using numerical methods. Moreover, this model is compared with an older density profile model [2], and the differences in their caustic and critical curves are pointed out. This leads to the conclusion that the NFW model produces caustic and critical curves that occupy a smaller region than portrayed by the caustic and critical curves produced by the older density profile model. However, the differences are not that significant to these structures act as microlenses as they are so small and beyond the scope of modern telescopes, and thus only the light curves can be detected from these structures.Comment: 15 pages, 7 figures, 1 tabl