论文标题
超级质量黑洞周围的恒星分布：重新审视的强隔离制度
Stellar Distributions Around a Supermassive Black Hole: Strong Segregation Regime Revisited
论文作者
论文摘要
我们为在银河系中心的质量$ m _ {\ bullet} $的恒星的稳态分布提供了一种新的分析解决方案。假设形式的$ dn/dm \ propto m^γ$的连续质量功能，具有特定轨道能$ x = gm _ {\ bullet}/r- v^2/2 $的星星主要由质量$ $ $ m _ {\ rm d}（x）（x）（x）\ propto x^x^{ - 5/hee the -5/hee（4γ/hee）散布散布那能量。质量$ m _ {\ rm d}（x）$的星星在低于$ x $的能量上呈指数级罕见，并遵循一个密度概况$ n（x'）\ propto x'^{3/2} $在energies $ x'\ gg x $。我们的解决方案预测，与Bahcall＆Wolf（1977）的结论相似，所有质量物种的恒星通过能量空间的流动可忽略不计，但与Alexander＆Hopman（2009）的假设相反。这是第一个分析解决方案，在不同恒星质量主导散射的方案之间平稳过渡。
We present a new analytical solution to the steady-state distribution of stars close to a central supermassive black hole of mass $M_{\bullet}$ in the center of a galaxy. Assuming a continuous mass function of the form $dN/dm \propto m^γ$, stars with a specific orbital energy $x = GM_{\bullet}/r - v^2/2$ are scattered primarily by stars of mass $m_{\rm d}(x) \propto x^{-5/(4γ+10)}$ that dominate the scattering of both lighter and heavier species at that energy. Stars of mass $m_{\rm d}(x)$ are exponentially rare at energies lower than $x$, and follow a density profile $n(x') \propto x'^{3/2}$ at energies $x' \gg x$. Our solution predicts a negligible flow of stars through energy space for all mass species, similarly to the conclusions of Bahcall & Wolf (1977), but in contrast to the assumptions of Alexander & Hopman (2009). This is the first analytic solution which smoothly transitions between regimes where different stellar masses dominate the scattering.
