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Resonance

A specific energy value at which a nuclear reaction is particularly likely to occur, due to the temporary formation of an intermediate compound nucleus.
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The statement of the theorem

The energy dependence of the cross-section σ(E)\sigma(E) near a resonance energy E0E_0 is described by the Breit-Wigner formula, assuming a narrow width Γ\Gamma and a constant background cross-section σ0\sigma_0:\nσ(E)=πℏ2k2gΓ2(E−E0)2+(Γ/2)2+σ0\sigma(E) = \frac{\pi \hbar^2}{k^2} g \frac{\Gamma^2}{(E - E_0)^2 + (\Gamma/2)^2} + \sigma_0