Determination of the IMF in the Solar Neighborhood between 1.2 and 4 M_(solar)

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Galactic evolution models rely, among other things, on the Initial Mass Function (IMF) and on the Star Formation Rate (SFR). The high accuracy of positions, parallaxes and proper motions together with the completeness of Hipparcos data allow us to get a new insight into IMF and SFR. In particular, the Mass-Luminosity relationship, which is uncertain for the type of stars considered here is avoided. In this work a complete sample of B5-F5 stars with apparent magnitudes V =< 6.5 observed by Hipparcos is studied. The absolute magnitudes are computed using Hipparcos parallaxes. For stars with sigma_pi/pi > 0.15, a weighted mean is calculated between astrometric and photometric parallaxes. This sample is modelled by assuming the IMF to be of the form xi(M)=M (-(1+x)). Taking different forms for the SFR (constant or decreasing exponentially), we compare the simulated sample with the observed one with a chi^2-test. The slope of the IMF is then determined in the 1.2 - 4 M_solar range and compared to the reference values (Salpeter 1955, Scalo 1986) and more recent determinations over the whole mass range.

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