论文标题
核心爆发超新星I的爆炸能：分析性，球形对称溶液
Explosion Energies for Core-collapse Supernovae I: Analytic, Spherically Symmetric Solutions
论文作者
论文摘要
最近对核心偏离超新星的多维模拟正在产生成功的爆炸和爆炸 - 能量预测。通常，爆炸 - 能源的演化是单调的且相对平滑的，这表明可能是一种分析解决方案。我们在以下假设下得出了增益区域扩展的分析解：球形对称性，单区外壳和由中微子和$α$粒子重组提供动力。我们考虑两个假设：i）爆炸能量由中微子提供动力和$α$重组，ii）爆炸能量仅由中微子提供动力。在这些假设下，我们得出了基本的无量纲参数和分析量表。 For the neutrino-only hypothesis (II), the asymptotic explosion energy scales as $E_{\infty} \approx 1.5 M_g v_0^2 η^{2/3}$, where $M_g$ is the gain mass, $v_0$ is the free-fall velocity at the shock, and $η$ is a ratio of the heating and dynamical time scales.包括中微子和重组（假设I），渐近爆炸能量为$ e _ {\ infty} \大约m_g v_0^2（1.5η^{2/3} +βf（ρ_0）$，其中$β$是$β$是$β$的无二重性重组参数。我们使用贝叶斯推断将这些分析模型拟合到模拟。这两个假设都符合倾向于球形爆炸的最低祖细胞的模拟。拟合不喜欢假设I或II；但是，先前的调查表明$α$重组很重要。正如预期的那样，两种假设都不适合表现出非球体爆炸的高质量模拟。总而言之，这种爆炸 - 能源理论与低祖细胞质量的球形爆炸一致。与较高的祖子质量模拟的不一致表明，对它们的理论必须包括非球体动力学。
Recent multi-dimensional simulations of core-collapse supernovae are producing successful explosions and explosion-energy predictions. In general, the explosion-energy evolution is monotonic and relatively smooth, suggesting a possible analytic solution. We derive analytic solutions for the expansion of the gain region under the following assumptions: spherical symmetry, one-zone shell, and powered by neutrinos and $α$ particle recombination. We consider two hypotheses: I) explosion energy is powered by neutrinos and $α$ recombination, II) explosion energy is powered by neutrinos alone. Under these assumptions, we derive the fundamental dimensionless parameters and analytic scalings. For the neutrino-only hypothesis (II), the asymptotic explosion energy scales as $E_{\infty} \approx 1.5 M_g v_0^2 η^{2/3}$, where $M_g$ is the gain mass, $v_0$ is the free-fall velocity at the shock, and $η$ is a ratio of the heating and dynamical time scales. Including both neutrinos and recombination (hypothesis I), the asymptotic explosion energy is $E_{\infty} \approx M_g v_0^2 (1.5η^{2/3} + βf(ρ_0))$, where $β$ is the dimensionless recombination parameter. We use Bayesian inference to fit these analytic models to simulations. Both hypotheses fit the simulations of the lowest progenitor masses that tend to explode spherically. The fits do not prefer hypothesis I or II; however, prior investigations suggest that $α$ recombination is important. As expected, neither hypothesis fits the higher-mass simulations that exhibit aspherical explosions. In summary, this explosion-energy theory is consistent with the spherical explosions of low progenitor masses; the inconsistency with higher progenitor-mass simulations suggests that a theory for them must include aspherical dynamics.
