Abstract

A deconvolution procedure is proposed to determine the resonant width $\ensuremath{\Gamma}$, the asymmetry parameter $q$, and the background cross section ${\ensuremath{\sigma}}_{b}$ of a Fano-type resonance in the absence of an ultrahigh-energy resolution. This procedure enables a direct extrapolation to infinite energy resolution using a set of explicit analytical relations in terms of the ratio between the width $\ensuremath{\Gamma}$ and the experimental energy resolution $\ensuremath{\Omega}$ in the limit of $\ensuremath{\Gamma}/\ensuremath{\Omega}\ensuremath{\ll}1$.

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