arXiv
Open Access
2025
IMF slope derived from a pure probabilistic model
Yu-Fu Shen
Abstrak
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.
Topik & Kata Kunci
Penulis (1)
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Yu-Fu Shen
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓