A targeted search for repeating fast radio bursts associated with gamma-ray bursts

TL;DR

This study conducted targeted searches for repeating fast radio bursts (FRBs) at sites of past gamma-ray bursts and a neutron star merger, setting upper limits on FRB fluence and constraining their luminosity function.

Contribution

It provides the first sensitive radio observations at specific astrophysical sites associated with magnetar formation, offering constraints on FRB luminosity distribution.

Findings

No FRBs detected at targeted sites.

Sensitivity comparable to known Galactic magnetar bursts.

Results favor a steep luminosity function with high cutoff luminosity.

Abstract

The origin of fast radio bursts (FRBs) still remains a mystery, even with the increased number of discoveries in the last three years. Growing evidence suggests that some FRBs may originate from magnetars. Large, single-dish telescopes such as Arecibo Observatory (AO) and Green Bank Telescope (GBT) have the sensitivity to detect FRB~121102-like bursts at gigaparsec distances. Here we present searches using AO and GBT that aimed to find potential radio bursts at 11 sites of past $\gamma$--ray bursts that show evidence for the birth of a magnetar. We also performed a search towards GW170817, which has a merger remnant whose nature remains uncertain. We place $10\,\sigma$ fluence upper limits of $\approx 0.036$ Jy ms at 1.4 GHz and $\approx 0.063$ Jy ms at 4.5 GHz for AO data and fluence upper limits of $\approx 0.085$ Jy ms at 1.4 GHz and $\approx 0.098$ Jy ms at 1.9 GHz for GBT data, for a maximum pulse width of $\approx 42$ ms. The AO observations had sufficient sensitivity to detect any FRB of similar luminosity to the one recently detected from the Galactic magnetar SGR 1935+2154. Assuming a Schechter function for the luminosity function of FRBs, we find that our non-detections favor a steep power--law index ($\alpha\lesssim-1.0$) and a large cut--off luminosity ($L_0 \gtrsim 10^{42}$ erg/s).