A New Frequency-Luminosity Relation for Long GRBs?

T. N. Ukwatta, K. S. Dhuga, D. C. Morris, G. MacLachlan, W. C. Parke, L. C. Maximon, A. Eskandarian, N. Gehrels, J. P. Norris, A. Shenoy

Published 2010-11-19Version 1

We have studied power density spectra (PDS) of 206 long Gamma-Ray Bursts (GRBs). We fitted the PDS with a simple power-law and extracted the exponent of the power-law (alpha) and the noise-crossing threshold frequency (f_th). We find that the distribution of the extracted alpha peaks around -1.4 and that of f_th around 1 Hz. In addition, based on a sub-set of 58 bursts with known redshifts, we show that the redshift-corrected threshold frequency is positively correlated with the isotropic peak luminosity. The correlation coefficient is 0.57 +/- 0.03.