Show that during the early part of the electron-positron annihilation era, the ratio of the electron number
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Show that during the early part of the electron-positron annihilation era, the ratio of the electron number density to the photon number density scaled with temperature as
\[\frac{n_{-}}{n_{\gamma}} \approx \frac{n_{+}}{n_{\gamma}} \sim\left(\beta m_{e} c^{2}\right)^{3 / 2} \exp \left(-\beta m_{e} c^{2}\right)\]
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