How are gamma-ray burst radio afterglows populated?

TL;DR

This study analyzes the properties of gamma-ray burst (GRB) radio afterglows, revealing that their distribution and correlations suggest different progenitors for radio-loud, radio-quiet, and radio-none GRBs, challenging the idea of a simple dichotomy.

Contribution

It provides a systematic analysis of GRB samples, demonstrating distinct distributions and correlations that imply different origins for various radio afterglow types.

Findings

Radio afterglows are better classified into dim and bright types.

Distributions of $T_{int}$, $E_{γ, iso}$, and $z$ are log-normal for radio-loud and radio-quiet GRBs.

Radio-none GRBs differ significantly from those with detected radio afterglows.

Abstract

We systematically analyze three GRB samples named as radio-loud, radio-quiet and radio-none afterglows, respectively. It is shown that dichotomy of the radio-loud afterglows is not necessary. Interestingly, we find that the intrinsic durations ($T_{int}$), isotropic energies of prompt gamma-rays ($E_{\gamma, iso}$) and redshifts ($z$) of their host galaxies are log-normally distributed for both the radio-loud and radio-quiet samples except those GRBs without any radio detections. Based on the distinct distributions of $T_{int}$, $E_{\gamma, iso}$, the circum-burst medium density ($n$) and the isotropic equivalent energy of radio afterglows ($L_{\nu,p}$), we confirm that the GRB radio afterglows are really better to be divided into the dim and the bright types. However, it is noticeable that the distributions of flux densities ($F_{host}$) from host galaxies of both classes of radio afterglows are intrinsically quite similar. Meanwhile, we point out that the radio-none sample is also obviously different from the above two samples with radio afterglows observed, according to the cumulative frequency distributions of the $T_{int}$ and the $E_{\gamma, iso}$, together with correlations between $T_{int}$ and $z$. In addition, a positive correlation between $E_{\gamma, iso}$ and $L_{\nu,p}$ is found in the radio-loud samples especially for the supernova-associated GRBs. Besides, we also find this positive correlation in the radio-quiet sample. A negative correlation between $T_{int}$ and $z$ is confirmed to hold for the radio-quiet sample too. The dividing line between short and long GRBs in the rest frame is at $T_{int}\simeq$1 s. Consequently, we propose that the radio-loud, the radio-quiet and the radio-none GRBs could be originated from different progenitors.