Correlation between intrinsic peak luminosity and spectral peak energy for energetic Fermi GRBs

Abstract

We select energetic GRBs detected by Fermi-LAT/GBM with known redshift and compute the correlation between the intrinsic peak luminosity ($L_{\rm iso}$) and peak energy ($E_{\rm i,p}$) of the $\nu F_{\nu}$ energy spectrum, known as the Yonetoku relation, in the 1 keV-10 MeV and 1 keV-30 MeV energy ranges. This correlation has the potential to make GRBs standard candles, similar to type Ia supernovae, but extending to high redshift. We explore parameters of the Lambda-Cold-Dark- Matter cosmological model at high redshift using Yonetoku relation for our sample of GRBs.