1999/07/13 by V. F. Cardone, Cardone, V. F., R. de Ritis +3
Environmental Science · Physics and Astronomy · #Astrophysics (astro-ph) #Atmospheric and Environmental Gas Dynamics #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #Impact of Light on Environment and Health #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9907160
10 LaTex pages, 2 postscript figures, accepted on 21/5/2001 for pubblication on A&A; title changed, completely revised version : a new definition of observable optical depth is used and all the MACHO results from 5.7 years of observations are used to constrain the slope of the dark halo mass function
openalex publication_date 1999/07/13 · arxiv created 2001/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the dark halo lens mass function (MF) for a wide class of spheroidal non singular isothermal models comparing observed and observable microlensing quantities for MACHO observations towards LMC and taking into account the detection efficiency. We evaluate the microlensing observable quantities, i.e. observable optical depth, number of events and mean duration, for models with homogenous power - law MF changing the upper and lower mass limits and the flattening of the dark halo. By applying the simple technique of the inverse problem method we are then able to get some interesting constraints on the slope α of the MF and on the dark halo mass fraction f made out by MACHOs consistently with previous results.