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It is usually assumed that the stellar initial mass function (IMF) takes a universal form and that there exists a direct mapping between this and the distribution of natal core masses (the core mass function, CMF). The IMF and CMF have been…

In the present work we examined the hypothesis that, a core mass function (CMF), such as the one deduced for cores in the Orion molecular cloud (OMC), could possibly be the primogenitor of the stellar initial mass function (IMF). Using the…

Astrophysics of Galaxies · Physics 2015-05-27 S. Anathpindika

Observations have indicated that the prestellar core mass function (CMF) is similar to the stellar initial mass function (IMF), except for an offset towards larger masses. This has led to the idea that there is a one-to-one relation between…

Solar and Stellar Astrophysics · Physics 2021-03-31 V. -M. Pelkonen , P. Padoan , T. Haugbølle , Å. Nordlund

Stars form from dense molecular cores, and the mass function of these cores (the CMF) is often found to be similar to the form of the stellar initial mass function (IMF). This suggests that the form of the IMF is the result of the form of…

The observed similarities between the mass function of prestellar cores (CMF) and the stellar initial mass function (IMF) have led to the suggestion that the IMF is already largely determined in the gas phase. However, theoretical arguments…

Astrophysics of Galaxies · Physics 2015-05-30 Paolo Padoan , AAke Nordlund

The origin of the stellar initial mass function (IMF) is a fundamental issue in the theory of star formation. It is generally fit with a composite power law. Some clues on the progenitors can be found in dense starless cores that have a…

Astrophysics of Galaxies · Physics 2015-09-21 Tingtao Zhou , Chelsea X. Huang , D. N. C. Lin , Matthias Gritschneder , Herbert Lau

Similarity in shape between the initial mass function (IMF) and the core mass functions (CMFs) in star-forming regions prompts the idea that the IMF originates from the CMF through a self-similar core-to-star mass mapping process. To…

Astrophysics of Galaxies · Physics 2021-09-08 Yue Cao , Keping Qiu , Qizhou Zhang , Yuwei Wang , Yuanming Xiao

Understanding the processes that determine the stellar Initial Mass Function (IMF) is a critical unsolved problem, with profound implications for many areas of astrophysics. In molecular clouds, stars are formed in cores, gas condensations…

We use a recently-developed analytic model for the ISM structure from scales of GMCs through star-forming cores to explore how the pre-stellar core mass function (CMF) and, by extrapolation, stellar initial mass function (IMF) should depend…

Astrophysics of Galaxies · Physics 2014-11-13 Philip F. Hopkins

We present a simple statistical analysis of recent numerical simulations exploring the correlation between the core mass function obtained from the fragmentation of a molecular cloud and the stellar mass function which forms from these…

Solar and Stellar Astrophysics · Physics 2015-05-20 Gilles Chabrier , Patrick Hennebelle

We show that the same initial mass function (IMF) can result from very different modes of star formation from very similar underlying core and/or system mass functions. In particular, we show that the canonical IMF can be recovered from…

Astrophysics of Galaxies · Physics 2015-05-13 Simon P Goodwin , M B N Kouwenhoven

The connection between the pre-stellar core mass function (CMF) and the stellar initial mass function (IMF) lies at the heart of all star formation theories. In this paper, we study the earliest phases of star formation with a series of…

Astrophysics of Galaxies · Physics 2019-05-22 Evangelia Ntormousi , Patrick Hennebelle

In the solar neighborhood, the Initial Mass Function (IMF) follows is canonically described by the Salpeter power-law slope for the high-mass range. The stellar IMF may directly result from a Core Mass Function (CMF) through accretion,…

Astrophysics of Galaxies · Physics 2026-05-06 B. Thomasson , I. Joncour , E. Moraux , F. Motte , T. Yoo , A. Ginsburg

The Stellar Initial Mass Function (IMF) characterizes the mass distribution of newly formed stars in various cosmic environments, serving as a fundamental assumption in astrophysical research. Recent findings challenge the prevalent notion…

Astrophysics of Galaxies · Physics 2024-05-29 Zhiqiang Yan , Jiadong Li , Pavel Kroupa , Tereza Jerabkova , Eda Gjergo , Zhi-Yu Zhang

The stellar initial mass function (IMF) is commonly interpreted to be a scale-invariant probability density distribution function (PDF) such that many small clusters yield the same IMF as one massive cluster of the same combined number of…

Astrophysics of Galaxies · Physics 2023-02-22 Zhiqiang Yan , Tereza Jerabkova , Pavel Kroupa

We review current theories for the origin of the Stellar Initial Mass Function (IMF) with particular focus on the extent to which the IMF can be considered universal across various environments. To place the issue in an observational…

As most if not all stars are born in stellar clusters the shape of the mass function of the field stars is not only determined by the initial mass function of stars (IMF) but also by the cluster mass function (CMF). In order to quantify…

Astrophysics · Physics 2015-11-11 Carsten Weidner , Pavel Kroupa

The stellar initial mass function (IMF) is fundamental for many areas of astrophysics, but its origin remains poorly understood. It may be inherited from the core mass function (CMF) or arise as a result of more chaotic, competitive…

Astrophysics of Galaxies · Physics 2021-08-04 Theo J. O'Neill , Giuliana Cosentino , Jonathan C. Tan , Yu Cheng , Mengyao Liu

We derive a semi-empirical galactic initial mass function (IMF) from observational constraints. We assume that the star formation rate in a galaxy can be expressed as the product of the IMF, $\psi (m)$, which is a smooth function of mass…

Astrophysics of Galaxies · Physics 2015-05-20 Antonio Parravano , Christopher F. McKee , David J. Hollenbach

We investigate whether the stellar initial mass function (IMF) is universal, or whether it varies significantly among young stellar clusters in the Milky Way. We propose a method to uncover the range of variation of the parameters that…

Astrophysics of Galaxies · Physics 2017-10-30 Sami Dib , Stefan Schmeja , Sacha Hony
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