Sensitivity of Core-Collapse Supernovae to Neutrino Luminosity in Cases of Anisotropic Neutrino Radiation

We demonstrate the importance of anisotropic neutrino radiation in the mechanism of core-collapse supernova explosions. Through a new parameter study with a fixed radiation field of neutrinos, we show that global anisotropy of the neutrino radiation is the most effective mechanism of increasing the explosion energy when the total neutrino luminosity is given. We discuss the reason why, and demonstrate how sensitively the success of a supernova explosion depends on the neutrino luminosity.