Fano Resonance

{(q \Gamma_\mathrm{res}/2 + E - E_\mathrm{res})^2 \over (E - E_\mathrm{res})^2 + (\Gamma_\mathrm{res}/2)^2 }.

The

E_\mathrm{res}

and

\Gamma_\mathrm{res}

parameters are the standard Breit-Wigner parameters (position and width of the resonance, resp.). The ''q'' parameter is the so-called Fano parameter. It is interpreted (within the Feshbach-Fano Partioning theory) as the ratio between the resonant and direct (background) scattering probability. In the case the direct scattering probability is vanishing, the ''q'' parameter becomes infinite and the Fano formula is boiling down to the usual Breit-Wigner (Lorentzian) formula:

:

1 \over (E - E_\mathrm{res})^2 + (\Gamma_\mathrm{res}/2)^2.

The classical reference is U. Fano, Phys. Rev. 124, 1866 (1961).

	CATEGORIES ABOUT FANO RESONANCE

	quantum mechanics

	quantum field theory

	scattering

	continuous distributions

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Information About

Fano Resonance