Confining Burst Energy Function and Spectral Fringe Pattern of FRB 20121102A with Multifrequency Observations
arXiv:2305.02598 · doi:10.3847/1538-4357/aca297
Abstract
The observed spectral shapes variation and tentative bimodal burst energy distribution (E-distribution) of fast radio burst (FRB) 20121102A with the FAST telescope are great puzzles. Adopting the published multifrequency data observed with the FAST and Arecibo telescopes at band and the GBT telescope at band, we investigate these puzzles through Monte Carlo simulations. The intrinsic energy function (E-function) is modeled as , and the spectral profile is described as a Gaussian function. A fringe pattern of its spectral peak frequency () in 0.5-8 GHz is inferred from the distribution of the GBT sample. We estimate the likelihood of and the standard deviation of the spectral profile () by utilizing the Kolmogorov--Smirnov (K-S) test probability for the observed and simulated specific E-distributions. Our simulations yields and ( confidence level) with the FAST sample. These results suggest that a single power-law function is adequate to model the E-function of FRB 20121102A. The variations of its observed spectral indices and E-distributions with telescopes in different frequency ranges are due to both physical and observational reasons, i.e. narrow spectral width for a single burst and discrete fringe pattern in a broad frequency range among bursts, and the selection effects of the telescope bandpass and sensitivity. The putative fringe pattern cannot be explained with the current radiation physics models of FRBs. Some caveats of possible artificial effects that may introduce such a feature are discussed.
arXiv commentPublished in ApJ,13 pages, 5 figures
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