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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.14812 |
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| _version_ | 1866917961096232960 |
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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 |