Deriving quantitative results from simulations of core-collapse supernovae

The history of the core-collapse supernova simulations is riddled with contradictory results using different physical effects: equation of state, general relativity, neutrino transport, and convection, all receiving their chance to play lead role. The importance of the most recent effect, convection, is currently under investigation. We present results of a series of supernova simulations to study the trends in the outcome of the collapse with respect to the effects of progenitor star, of general relativity, and of the neutrino transport. We find that the quantitative nature of the explosion is strongly dependent upon all of these effects (Small changes in input physics not only changes energies by factors of similar to 4 and remnant masses by 50%, but may even cause successful supernova simulations to fizzle). The sensitivity of the result to these effects explains the current quandary of the field where, currently, different groups have concentrated on different effects. We concentrate this paper on comparisons with other groups to constrain the dominant differences between our results and those of different groups. The disagreement of the different groups is evidence of the delicate nature of supernova which is also reflected in the observations.