论文标题
避免从protonutron Star中的重力波谱穿越
Avoided crossing in gravitational wave spectra from protoneutron star
论文作者
论文摘要
在数值模拟中出现的引力波的逐渐升高可能是估计超新星爆炸处的原子恒星（PNS）参数的重要信号。为了确定具有PNS振荡的信号，我们进行了线性扰动分析，并将所得的特征频与通过二维数值模拟获得的升高信号进行比较。然后，我们发现坡道UP信号在早期阶段与$ G_1 $模式很好地相对应，并与$ f $ -mode相对应，$ g_1 $ - mode通过避免的交叉交换。我们还确认，$ f $ - 和$ g_1 $ -modes几乎独立于在核心反弹后的后期选择PNS表面密度。此外，我们成功地发现，$ g_1 $ - 和$ f $ -modes的拟合公式与数值仿真中的渐变信号相对应，这是PNS平均密度的函数。也就是说，通过对超新星爆炸后重力波的直接观察，可以通过使用我们的拟合公式提取PNS平均密度的时间演变。
The ramp up signals of gravitational waves appearing in the numerical simulations could be important signals to estimate parameters of the protoneutron star (PNS) at supernova explosions. To identify the signals with PNS oscillations, we make a linear perturbation analysis and compare the resultant eigenfrequencies with the ramp up signals obtained via the two-dimensional numerical simulations. Then, we find that the ramp up signals correspond well to the $g_1$-mode in the early phase and to the $f$-mode, to which the $g_1$-mode is exchanged via the avoided crossing. We also confirm that the $f$- and $g_1$-modes are almost independent of the selection of the PNS surface density in the later phase after core bounce. In addition, we successfully find that the fitting formula of $g_1$- and $f$-modes, which correspond to the ramp up signals in the numerical simulation, as a function of the PNS average density. That is, via the direct observation of the gravitational waves after supernova explosion, one could extract the time evolution of the PNS average density by using our fitting formula.
