Abstract
For the set of six gamma-ray bursts with redshifts observed by BeppoSAX and CGRO/BATSE, their isotropic peak luminosities and spectral lags are anti-correlated. In this small set of bursts, the relationship is approximated by a power-law, L53≈1.3×(τ/0.01 s)−1.15. While GRB 980425 (if associated with SN 1998bw) would appear to extend this trend qualitatively, it falls below the power-law relationship by a factor of several hundred. The same underlying anti-correlation, but apparently convolved with redshift, appears to be manifest in the 30% brightest BATSE bursts—dimmer bursts tend to have longer spectral lags. These results appear to lend at least empirical meaning to the GRB pulse paradigm:short spectral lag and therefore narrow pulse width are somehow related to high luminosity.
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