The slope of the gamma-ray burst variability/peak luminosity correlation

First using a sample of 32 GRBs with known redshift (Guidorzi et al. 2005) and then a sample of 551 BATSE GRBs with derived pseudo-redshift (Guidorzi 2005), the time variability/peak luminosity correlation (V vs. L), originally found by Reichart et al. (2001) using a sample of 18 GRBs, was tested. For both samples the correlation is still found but less relevant due to a much higher spread of the data. Assuming a straight line in the log L‐log V plane (log L = m log V + b), as done by Reichart et al., both Guidorzi et al. and Guidorzi found that the line slope for both samples is much lower than that derived by Reichart et al.: m = 1.3 +0.8