Symbol Gamma_rad

The passage around this formula

…width directly to the resonance’s position above threshold is the same relation used throughout the modern literature on this reaction, of the schematic resonant form $\langle \sigma v \rangle_{3\alpha} \;\propto\; \frac{\Gamma_\alpha}{\Gamma}\,\Gamma_{\mathrm{rad}}\; \exp\!\left(-\frac{E_R}{k_{B}T}\right)$. where $\Gamma_\alpha$ and $\Gamma_{\mathrm{rad}}$ are the alpha-decay and radiative partial widths, $\Gamma$ their sum, and $E_R$ the resonance energy above the reacting threshold [ 5 ] . The exponential term is why a shift in the resonance’s position has outsized leverage on the reaction rate, and why the disputed…

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