Helium sensitivity to the expansion rate (source code)

= Helium sensitivity to the expansion rate
{title2=$T_f\propto(Gg_*)^{1/6}$}

During radiation domination, the weak conversion rate scales as $T^5$ whereas the <Hubble parameter> scales as $\sqrt{Gg_*}\,T^2$. Their crossing fixes the <cosmological weak freeze-out> <temperature>. A faster expansion raises it, leaving a larger <neutron-to-proton ratio>, and shortens the interval for <free-neutron decay after freeze-out>. Both effects increase the helium-4 <mass> fraction if the extra component does not independently change <reaction rates> or inject decay products.