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Autor principal: Shen, Yu-Fu
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2503.14812
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author Shen, Yu-Fu
author_facet Shen, Yu-Fu
contents The stellar initial mass function is of great significance for the study of star formation and galactic structure. Observations indicate that the IMF follows a power-law form. This work derived that when the expected number of stars formed from a spherical molecular cloud is much greater than 1, there is a relationship between the slope $α$ of the IMF and $r^n$ in the radius-density relation of spherically symmetric gas clouds, given by $α= 3/(n+3)$ ($Γ_{\mathrm {IMF}} = n/(n+3)$). This conclusion is close to the results of numerical simulations and observations, but it is derived from a pure probabilistic model, which may have underlying reasons worth pondering.
format Preprint
id arxiv_https___arxiv_org_abs_2503_14812
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle IMF slope derived from a pure probabilistic model
Shen, Yu-Fu
Astrophysics of Galaxies
Solar and Stellar Astrophysics
The stellar initial mass function is of great significance for the study of star formation and galactic structure. Observations indicate that the IMF follows a power-law form. This work derived that when the expected number of stars formed from a spherical molecular cloud is much greater than 1, there is a relationship between the slope $α$ of the IMF and $r^n$ in the radius-density relation of spherically symmetric gas clouds, given by $α= 3/(n+3)$ ($Γ_{\mathrm {IMF}} = n/(n+3)$). This conclusion is close to the results of numerical simulations and observations, but it is derived from a pure probabilistic model, which may have underlying reasons worth pondering.
title IMF slope derived from a pure probabilistic model
topic Astrophysics of Galaxies
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2503.14812