Evidence for top-heavy stellar initial mass functions with increasing density and decreasing metallicity
Michael Marks, Pavel Kroupa, J\"org Dabringhausen, Marcel S. Pawlowski

TL;DR
This study provides evidence that the stellar initial mass function in globular clusters was top-heavy, especially in low-metallicity and high-density environments, impacting galaxy evolution and chemical enrichment.
Contribution
It demonstrates that the IMF varies with cluster density and metallicity, revealing a fundamental plane linking these parameters and the IMF's shape.
Findings
IMF becomes more top-heavy at lower metallicity
IMF varies with pre-GC cloud-core density
A fundamental plane describes IMF variation
Abstract
Residual-gas expulsion after cluster formation has recently been shown to leave an imprint in the low-mass present-day stellar mass function (PDMF) which allowed the estimation of birth conditions of some Galactic globular clusters (GCs) such as mass, radius and star formation efficiency. We show that in order to explain their characteristics (masses, radii, metallicity, PDMF) their stellar initial mass function (IMF) must have been top-heavy. It is found that the IMF is required to become more top-heavy the lower the cluster metallicity and the larger the pre-GC cloud-core density are. The deduced trends are in qualitative agreement with theoretical expectation. The results are consistent with estimates of the shape of the high-mass end of the IMF in the Arches cluster, Westerlund 1, R136 and NGC 3603, as well as with the IMF independently constrained for ultra-compact dwarf galaxies…
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