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arXiv · 1809.05351

Confinement-Induced Resonances in Two-Center Problem via Pseudopotential Approach

Sara Shadmehri·Vladimir S. Melezhik
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Abstract

We study confined scattering of a quantum particle by two centers fixed on the longitudinal axis of a harmonic waveguide-like trap. The conditions of confinement-induced resonances (CIRs) appearing in these systems, when scattering cross section approaches the unitary limit, are derived for a regularized pseudopotential describing particle interaction with scattering centers. In the limit of a single center, the position of CIR for even state tends to the well-known result obtained by Olshanii. Our result can be applicable to confined atomic scattering by fixed impurities, like ions or Rydberg atoms, with possible extension to $N$ impurities, or by two-atomic molecules.

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Sara Shadmehri, Vladimir S. Melezhik. 2018-12-04. Confinement-Induced Resonances in Two-Center Problem via Pseudopotential Approach. https://doi.org/10.1103/physreva.99.032705

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