Exact closed-form derivation of the full width at half maximum of the Breit-Wigner Lorentzian line shape. Lorentzian normalised peak: σ(E)/σ_peak = (Γ/2)² / [(E − E_r)² + (Γ/2)²]. Solving σ(E) / σ_peak = 1/2: (Γ/2)² = (1/2)·[(E − E_r)² +…
Exact closed-form derivation of the full width at half maximum of the Breit-Wigner Lorentzian line shape. Lorentzian normalised peak: σ(E)/σ_peak = (Γ/2)² / [(E − E_r)² + (Γ/2)²]. Solving σ(E) / σ_peak = 1/2: (Γ/2)² = (1/2)·[(E − E_r)² +…