The Initial Mass Function 50 Years Later
DOI: 10.1007/978-1-4020-3407-7_11
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The Stellar IMF of Galactic Clusters and Its Evolution

Abstract: We show that one can obtain a good fit to the measured main sequence mass function (MF) of a large sample of Galactic clusters (young and old) with a tapered Salpeter power law distribution function with an exponential truncation. The average value of the power law index is very close to Salpeter (∼ 2.3), whereas the characteristic mass is in the range 0.1 − 0.5 M⊙ and does not seem to vary in a systematic way with the present cluster parameters such as metal abundance and central concentration. However, a rem… Show more

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Cited by 30 publications
(20 citation statements)
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“…This excludes any single-slope IMF and enforces a flattening of the IMF with respect to the Salpeter slope below ∼0.5−0.7 M (e.g., Renzini 2005). Consistently, direct stellar counts in Galactic globular clusters (Paresce & De Marchi 2000) and young clusters with ages ranging from a few Myr to 1 Gyr (de Marchi et al 2005; see also Bouvier et al 2005) point to an IMF with a log-normal form below 1 M . This conclusion holds for the present day mass function of fields in the Galactic Disc (Chabrier 2003;Moraux et al 2004) or Bulge (Zoccali 2005, and references therein).…”
Section: On the Choice Of Imf And Its Impact On The Best Fitting Masssupporting
confidence: 66%
“…This excludes any single-slope IMF and enforces a flattening of the IMF with respect to the Salpeter slope below ∼0.5−0.7 M (e.g., Renzini 2005). Consistently, direct stellar counts in Galactic globular clusters (Paresce & De Marchi 2000) and young clusters with ages ranging from a few Myr to 1 Gyr (de Marchi et al 2005; see also Bouvier et al 2005) point to an IMF with a log-normal form below 1 M . This conclusion holds for the present day mass function of fields in the Galactic Disc (Chabrier 2003;Moraux et al 2004) or Bulge (Zoccali 2005, and references therein).…”
Section: On the Choice Of Imf And Its Impact On The Best Fitting Masssupporting
confidence: 66%
“…The TPL combines in one expression the ubiquitous power-law shape above 1 M (e.g., Salpeter 1955) with the plateau and drop observed near the hydrogen-burning limit (e.g., Chabrier 2003). As we already showed (De Marchi et al 2005), the TPL fits remarkably well the MFs of both YCs and GCs over the entire stellar mass range. We stress here that it is irrelevant whether the IMF resulting from star formation takes on the shape of a TPL, as long as it suitably represents the observed mass distribution.…”
Section: The Tapered Power Lawsupporting
confidence: 76%
“…An additional parameterization of the IMF that is quite practical is that of a "tapered power-law" (de Marchi, Paresce & Portegies Zwart 2005). This has the form…”
Section: Functional Formsmentioning
confidence: 99%