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Equation 2 · The Resonance That Selected Carbon, and the Universes That Couldn't

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Γα\Gamma_\alpha

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the alpha-decay and radiative partial widths, Γ\Gamma their sum. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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Γα\Gamma_\alpha

Symbol Gamma_α

the alpha-decay and radiative partial widths, Γ\Gamma their sum.

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where Γα\Gamma_\alpha and Γrad\Gamma_{\mathrm{rad}} are the alpha-decay and radiative partial widths, Γ\Gamma their sum, and ERE_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 radiative-width measurements of the previous section and the sensitivity calculations here are, in the end, two views of the same quantity’s grip on the same exponent.

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