The effects of r-process heating on fallback accretion in compact object mergers

We explore the effects of r-process nucleosynthesis on fallback accretion in neutron star (NS)-NS and black hole-NS mergers, and the resulting implications for short-duration gamma-ray bursts (GRBs). Though dynamically important, the energy released during the r-process is not yet taken into account in merger simulations. We use a nuclear reaction network to calculate the heating (due to beta decays and nuclear fission) experienced by material on the marginally bound orbits nominally responsible for late-time fallback. Since matter with longer orbital periods t(orb) experiences lower densities, for longer periods of time, the total r-process heating rises rapidly with t(orb), such that material with t(orb) greater than or similar to 1s can become completely unbound. Thus, r-process heating fundamentally changes the canonical prediction of an uninterrupted power-law decline in the fallback rate. (M) over dot(fb) at late times. When the time-scale for r-process to complete is greater than or similar to 1s, the heating produces a complete cut-off in fallback accretion after similar to 1s; if robust, this would imply that fallback accretion cannot explain the late-time X-ray flaring observed following some short GRBs. However, for a narrow, but physically plausible, range of parameters, fallback accretion can resume after similar to 10s, despite having been strongly suppressed for similar to 1-10s after the merger. This suggests the intriguing possibility that the gap observed between the prompt and extended emission in short GRBs is a manifestation of r-process heating.