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Resonance enhancement of the electromagnetic interaction between two charged particles in the bound state in the continuum

2022/11/29 by A. I. Agafonov, Agafonov, A. I.
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2211.17092

openalex publication_date 2022/11/29 · openalex created_date 2022/12/12 · openalex updated_date 2026/07/28

Abstract

In bound states in the continuum (BIC) the mass of a composite particle is greater than the total mass of its constituents. Using the ladder Bethe-Salpeter equation, the BIC state in a system of two charged particles a and b with different masses (mb>>ma) is investigated. We demonstrate that for the positive binding energy, there are two momentum space regions in which the electromagnetic interaction between the particles is strongly enhanced, and the effective coupling constant turns out to be equal to α√mb/ma, where α is the fine structure constant. The interaction resonance leads to confinement of the constituents in the BIC state with the positive binding energy which is of the order of the mass of the lighter particle from the pair.

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