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

TL;DR
This study analyzes the power density spectra of long GRBs, revealing a correlation between redshift-corrected threshold frequency and peak luminosity, suggesting a potential new relation for understanding GRB properties.
Contribution
The paper introduces a novel correlation between redshift-corrected threshold frequency and luminosity in long GRBs based on spectral analysis.
Findings
Peak alpha distribution around -1.4
Threshold frequency peaks near 1 Hz
Positive correlation (0.57) between corrected threshold frequency and luminosity
Abstract
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.
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