Correlation between pulse-width and peak luminosity of single-pulse long gamma-ray bursts

With a sample of 21 single-pulse GRBs with redshift measurement and a sample of 65 single-pulse GRBs with pseudo redshift estimated by the luminosity-spectral lag relation, we show that the peak luminosities of GRB pulses are anti-correlated with pulse width, indicating that longer-pulses tend to be dimmer in the gamma-ray band. The anti-correlation is accessible with an internal shock scenario.