Recently, repeating fast radio bursts (FRBs) with a period of $P_{\rm FRB}=16.35\pm0.18$ days from FRB 180916.J0158+65 had been reported. It still remains controversial how to give rise to such a periodicity of this FRB. In this Letter, based on an assumption of a young pulsar surrounding by a debris disk, we attempt to diagnose whether the Lense-Thirring precession of the disk on the emitter can produce the observed periodicity. Our calculations indicate that the Lense-Thirring effect of a tilted disk can result in a precession period of 16 days for a mass inflow rate of $0.5-1.5\times10^{18}~\rm g\,s^{-1}$, a spin period of 1-20 ms of the pulsar, and an extremely low viscous parameter $\alpha=10^{-8}$ in the disk. The disk mass and the magnetic field of the pulsar are also constrained to be $\sim10^{-3}~\rm M_{\odot}$ and $< 2.5\times 10^{13}~\rm G$. In our model, a new born pulsar with normal magnetic field and millisecond period would successively experience accretion phase, propeller phase, and is visible as a strong radio source in the current stage. The rotational energy of such a young NS can provide the observed radio bursting luminosity for $400$ years.

中文翻译：

---

周期性重复快速射电爆发：碎片盘的 Lense-Thirring 岁差？

最近，已经报道了从 FRB 180916.J0158+65 开始的周期为 $P_{\rm FRB}=16.35\pm0.18$ 天的重复快速射电暴 (FRB)。如何产生这种FRB的周期性仍然存在争议。在这封信中，基于一个年轻的脉冲星被一个碎片盘包围的假设，我们试图诊断发射器上盘的 Lense-Thirring 进动是否会产生观察到的周期性。我们的计算表明，对于 $0.5-1.5\times10^{18}~\rm g\,s^{-1}$ 的质量流入速率，倾斜圆盘的 Lense-Thirring 效应可以导致 16 天的进动周期, 脉冲星的自旋周期为 1-20 ms，盘中具有极低的粘性参数 $\alpha=10^{-8}$。脉冲星的圆盘质量和磁场也被约束为 $\sim10^{-3}~\rm M_{\odot}$ 和 $< 2。5\乘以 10^{13}~\rm G$。在我们的模型中，一颗正常磁场和毫秒周期的新生脉冲星将依次经历吸积阶段、螺旋桨阶段，并在现阶段作为强射电源可见。这样一个年轻的 NS 的旋转能量可以提供 400 美元年观察到的射电爆发光度。