Constraining the spectrum of supernova neutrinos from ν-process induced light element synthesis

We constrain energy spectra of supernova neutrinos through the avoidance of an overproduction of the B11 abundance during Galactic chemical evolution. In supernova nucleosynthesis calculations with a parametrized neutrino spectrum as a function of temperature of νμ,τ and ν̄μ,τ and total neutrino energy, we find a strong neutrino temperature dependence of the B11 yield. When the yield is combined with observed abundances, the acceptable range of the νμ,τ and ν̄μ,τ temperature is found to be 4.8 to 6.6MeV. Nonzero neutrino chemical potentials would reduce this temperature range by about 10% for a degeneracy parameter ην=μν/kTν smaller than 3.