Neutrino heating in an inhomogeneous big bang nucleosynthesis model

The effect of the heating of neutrinos by scattering with electrons and positrons and by e(-)e(+) annihilation on nucleosynthesis is calculated for a spherically symmetric baryon inhomogeneous model of the universe. The model has a high baryon density core and a low density outer region. The heating effect is calculated by solving the Boltzmann Transport Equation for the distribution functions of electron and muon/tau neutrinos. For a range of baryon-to-photon ratio 1n(eta (10)) = [0, 1.5] and r(i) = [10(2), 10(8)] cm the heating effect increases the mass fraction X4(He) by a range of Delta X4(He) = [1, 2] x 10(-4). The change of the value of X4(He) appears similiar to the change caused by an upward shift in the value of eta (10). But the change to deuterium is a decrease in abundance ratio Y(d)/Y(p) on the order of 10(-3), one order less than the decrease due to a shift in eta (10).