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arXiv:2507.17674 · Indian Journal of Physics

Scattering angle dependence of Fano resonance profiles in cold atomic collisions analyzed with the complex valued $$\varvec{w}$$ parameter

Tanmay Singh, Raj Aryan Singh, Fumihiro Koike, Masatomi Iizawa, Yoshiro Azuma

Published Mar 8, 2026• 0 citations
arXivHTMLPDF
DOI
10.1007/s12648-026-03956-2

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Abstract The Fano resonance has been a familiar and important feature in atomic and molecular physics for more than half a century. Typically, the combination of a discrete state with one or more continua results in an asymmetric peak in the ionization spectrum. The peak-shape, called the Fano profile, can be expressed by a simple formula derived by Fano in 1935. However, the interpretation of its characteristic parameter q , which represents the asymmetry of the peak in the formula, is not necessarily intuitively transparent. The Fano resonance is not necessarily a quantum effect, but it is a manifestation of a certain physical mechanism in various systems, both quantum and classical. Through the derivation of q from the known classical pictures with the classical coupled oscillator, we interpret the q value with a geometrical view. And further, we introduce a complex valued q parameter for the description of the resonance with a damped oscillator.