Neutrino Heating in an Inhomogneous Big Bang Nucleosynthesis Model

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The effect on Big Bang Nucleosynthesis from the heating of neutrinos by scattering with electrons and positrons and by electron-positron annihilation is worked into a spherically symmetric baryon inhomogeneous BBN model. This IBBN model is parametrized by the baryon to photon ratio, η , and the size of the model, ri, at an initial temperature T = 100 GK. For a range of ln ( η ) = [ -10.0, -8.5 ] and ri = [ 102, 108 ] cm the heating effect increases the mass fraction X_4 He by a range of Δ X_4 He = [1, 2] x 10-4. A contour map of Δ X_4 He tends to track the contour map of X_4 He. The effect appears similiar to an upward shift in the value of the baryon to photon ratio. But the heating effect on deuterium is a decrease in abundance ratio Y(d)/Y(p) on the order of 10-3, whereas Y(d)/Y(p) would decrease an order of 10-2 due to a shift in η 10. Sufficiently accurate deuterium observations can then be used to distinguish the heating effect from other effects.

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