Effects of the standing accretion-shock instability and the lepton-emission self-sustained asymmetry in the neutrino emission of rotating supernovae

The rotation of core-collapse supernovae affects the neutrino emission characteristics. By comparing the neutrino properties of three three-dimensional supernova (SN) simulations of a 15 M_⊙ progenitor (one nonrotating model and two models rotating at different velocities), we investigate how the neutrino emission varies with the flow dynamics in the SN core depending on the different degrees of rotation. The large-amplitude sinusoidal modulations due to the standing accretion-shock instability are weaker in both the rotating models than in the nonrotating case. The SN progenitor rotation reduces the radial velocities and radial component of the kinetic energy associated with the convection interior to the protoneutron star. This effect seems to disfavor the growth of the hemispheric neutrino-emission asymmetries associated with the lepton-emission self-sustained asymmetry. An investigation of the multipole expansion of the neutrino luminosity and the electron neutrino lepton number flux shows a dominant quadrupolar mode in rotating SN models. Our findings highlight the power of using neutrinos as probes of SN hydrodynamics.