A Search for Fast Radio Bursts with the GBNCC Pulsar Survey

P. Chawla, V. M. Kaspi, A. Josephy, K. M. Rajwade, D. R. Lorimer, A. M. Archibald, M. E. DeCesar, J. W. T. Hessels, D. L. Kaplan, C. Karako-Argaman, V. I. Kondratiev, L. Levin, R. S. Lynch, M. A. McLaughlin, S. M. Ransom, M. S. E. Roberts, I. H. Stairs, K. Stovall, J. K. Swiggum, J. van Leeuwen

Published 2017-01-25Version 1

We report on a search for Fast Radio Bursts (FRBs) with the Green Bank Northern Celestial Cap (GBNCC) Pulsar Survey at 350 MHz. Pointings amounting to a total on-sky time of 61 days were searched to a DM of 3000 pc cm$^{-3}$ while the rest (23 days; 29% of the total time) were searched to a DM of 500 pc cm$^{-3}$. No FRBs were detected in the pointings observed through May 2016. We estimate a 95% confidence upper limit on the FRB rate of 3.6$\times 10^3$ FRBs sky$^{-1}$ day$^{-1}$ above a peak flux density of 0.63 Jy at 350 MHz for an intrinsic pulse width of 5 ms. We place constraints on the spectral index $\alpha$ (flux density at a frequency $\nu$, $S_{\nu} \propto \nu^{\alpha})$ by running Monte Carlo simulations for different astrophysical scenarios and cumulative flux density distributions of the FRB population. The non-detection with GBNCC is consistent with the 1.4-GHz rate estimate reported for the Parkes surveys for $\alpha > +0.35 $ in the absence of scattering and free-free absorption and $\alpha > -0.3$ in the presence of scattering, for a Euclidean flux distribution. The constraints imply that FRBs must exhibit either a flat spectrum or a spectral turnover at frequencies above 400 MHz. These constraints also allow us to estimate the number of bursts that can be detected with current and upcoming surveys. We predict that the Canadian Hydrogen Intensity Mapping Experiment (CHIME) may detect as many as 54 FRBs a day, making it well suited to obtain interesting constraints on spectral index, slope of the log $N$-log $S$ function and pulse profile evolution across its bandwidth (400-800 MHz).