Periodically-repeating fast radio bursts: Lense-Thirring precession of a debris disk?

Abstract

Recently, repeating fast radio bursts (FRBs) with a period of $P_{\mathrm{FRB}}=16.35\pm 0.18$ 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 $0.5-1.5\times 10^{18}\mathrm{g}{\mathrm{s}}^{-1}$, 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 $\sim 10^{-3}{\mathrm{M}}_{\odot }$ and $<2.5\times 10^{13}\mathrm{G}$. 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.

6 pages, 2 figures, PASJ in press

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• Reconciling the 16.35-day period of FRB 20180916B with jet precession
• Neutron star phase transition as the origin for the fast radio bursts and soft gamma-ray repeaters of SGR J1935+2154
• Fast Radio Bursts
• A comprehensive search for Long and Short Periodic Features from an Extremely Active Cycle of FRB 20240114A