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Recent papers have found that the inferred slope of the high-mass ($>1.5$ M$_odot$) IMF for field stars in the solar vicinity has a larger value ($sim 1.7-2.1$) than the slopes ($sim 1.2-1.7$; Salpeter= 1.35) inferred from numerous studies of young clusters. We attempt to reconcile this apparent contradiction. Stars mostly form in Giant Molecular Clouds, and the more massive stars ($gtrsim 3$ M$_odot$) may have insufficient time before their deaths to uniformly populate the solar circle of the Galaxy. We examine the effect of small sample volumes on the {it apparent} slope, $Gamma_{rm app}$, of the high-mass IMF by modeling the present day mass function (PDMF) over the mass range $1.5-6$ M$_odot$. Depending on the location of the observer along the solar circle and the size of the sample volume, the apparent slope of the IMF can show a wide variance, with typical values steeper than the underlying universal value $Gamma$. We show, for example, that the PDMFs observed in a small (radius $sim 200$ pc) volume randomly placed at the solar circle have a $sim 15-30$% likelihood of resulting in $Gamma_{rm app} gtrsim Gamma+ 0.35$ because of inhomogeneities in the surface densities of more massive stars. If we add the a priori knowledge that the Sun currently lies in an interarm region, where the star formation rate is lower than the average at the solar circle, we find an even higher likelihood ($sim 50-60%$ ) of $Gamma_{rm app} gtrsim Gamma+0.35$, corresponding to $Gamma_{rm app} gtrsim 1.7$ when the underlying $Gamma= 1.35$.
As hosts of living high-mass stars, Wolf-Rayet (WR) regions or WR galaxies are ideal objects for constraining the high-mass end of the stellar initial mass function (IMF). We construct a large sample of 910 WR galaxies/regions that cover a wide range
By using the deepest available mid and far infrared surveys in the CANDELS, GOODS and COSMOS fields we study the evolution of the Main Sequence (MS) of star forming galaxies (SFGs) from z~0 to` ~2.5 at stellar masses larger than 10^{10} M_{odot}. The
We study the possibility to detect and distinguish signatures of enrichment from PopIII stars in observations of PopII GRBs (GRBIIs) at high redshift by using numerical N-body/hydrodynamical simulations including atomic and molecular cooling, star fo
We measure the intrinsic relation between velocity dispersion ($sigma$) and luminosity ($L$) for massive, luminous red galaxies (LRGs) at redshift $z sim 0.55$. We achieve unprecedented precision by using a sample of 600,000 galaxies with spectra fro
The empirical binary properties of brown dwarfs (BDs) differ from those of normal stars suggesting BDs form a separate population. Recent work by Thies & Kroupa revealed a discontinuity of the initial mass function (IMF) in the very-low-mass star reg