The initial luminosity and mass functions of the Galactic open clusters

Details The initial luminosity and mass functions of the Galactic open clusters The initial luminosity and mass functions of the Galactic open clusters

2008-06-13

arxiv.org/abs/0806.2217v1

Astronomy and Astrophysics

Astrophysics

10 pages, 8 figures, accepted for publication in A&A

Scientific paper

(... abridged) The observed luminosity function can be constructed in a range of absolute integrated magnitudes $I_{M_V}= [-10, -0.5]$ mag, i.e. about 5 magnitudes deeper than in the most nearby galaxies. It increases linearly from the brightest limit to a turnover at about $I_{M_V}\approx-2.5$. The slope of this linear portion is $a=0.41\pm0.01$, which agrees perfectly with the slope deduced for star cluster observations in nearby galaxies. (...) We find that the initial mass function of open clusters (CIMF) has a two-segment structure with the slopes $\alpha=1.66\pm0.14$ in the range $\log M_c/M_\odot=3.37...4.93$ and $\alpha=0.82\pm0.14$ in the range $\log M_c/M_\odot=1.7...3.37$. The average mass of open clusters at birth is $4.5\cdot 10^3 M_\odot$, which should be compared to the average observed mass of about $700 M_\odot$. The average cluster formation rate derived from the comparison of initial and observed mass functions is $\bar{\upsilon}=0.4 \mathrm{kpc}^{-2}\mathrm{Myr}^{-1}$. Multiplying by the age of the Galactic disc (T = 13 Gyr) the predicted surface density of Galactic disc field stars originating from dissolved open clusters amounts to $22 M_\odot \mathrm{pc}^{-2}$ which is about 40% of the total surface density of the Galactic disc in the solar neighbourhood. Thus, we conclude that almost half of all field stars were born in open clusters, a much higher fraction than previously thought.

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