2005MNRAS.362.1085Q

As revealed previously, under the assumption that some pulses of gamma-ray bursts are produced by shocks in spherical fireballs or uniform jets of large opening angles, there exists a standard decay form of the profile of pulses arising from very narrow or suddenly dimming local (or intrinsic) pulses due to the relativistic curvature effect (the Doppler effect over the spherical shell surface). Profiles of pulses arising from other local pulses were previously found to possess a reverse S-feature deviation from the standard decay form. We show in this paper that, in addition to the standard decay form shown in Qin et al., there exists a marginal decay curve associated with a local δ function pulse with a monocolour radiation. We employ the sample of Kocevski, Ryde & Liang to check this prediction and find that the phenomenon of the reverse S-feature is common, when compared with both the standard decay form and the marginal decay curve. We accordingly propose to take the marginal decay curve (whose function is simple) as a criterion to check if an observed pulse could be taken as a candidate suffered from the curvature effect. We introduce two quantities A₁and A₂to describe the mentioned deviations within and beyond the full width at half-maximum position of the decay phase, respectively. The values of A₁and A₂of pulses of the sample are calculated, and the result suggests that for most of these pulses their corresponding local pulses might contain a long decay time relative to the time-scale of the curvature effect.