The light curves of soft X-ray transients

We show that the light curves of soft X-ray transients (SXTs) follow naturally from the disc instability picture, adapted to take account of irradiation by the central Xray source during the outburst. Irradiation prevents the disc from returning to the cool state until central accretion is greatly reduced. This happens only after most of the disc mass has been accreted by the central object, on a viscous time-scale, accounting naturally for the exponential decay of the outburst on a far longer timescale (tau similar to 20-40 d) than seen in dwarf novae, without any need to manipulate the viscosity parameter alpha. The accretion of most of the disc mass in outburst: explains the much longer recurrence time of SXTs compared with dwarf novae. This picture also suggests an explanation of the secondary maximum seen in SXT light curves about 50-75 d after the start of each outburst, since central irradiation triggers the thermal instability of the outer disc, adding to the central accretion rate one viscous time later. The X-ray outburst decay constant tau should on average increase with orbital period, but saturate at a roughly constant value similar to 40 d for orbital periods longer than about a day. The bolometric light curve should show a linear rather than an exponential decay at late times (a few times tau). Outbursts of long-period systems should be entirely in the linear decay regime, as is observed in GROJ1744-28. UV and optical light curves should resemble the X-rays but have decay time-scales up to 2-4 times longer.