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arxiv: 0907.4734 · v1 · submitted 2009-07-27 · ⚛️ physics.atom-ph · cond-mat.quant-gas

Faddeev equations in one-dimensional problems with resonant interactions

classification ⚛️ physics.atom-ph cond-mat.quant-gas
keywords equationinteractionsone-dimensionalproblemresonantalgebraicbosonschannels
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A problem of three one-dimensional bosons with resonant multichannel interactions is considered. The problem is reduced to a single-channel Faddeev-Lovelace equation by elimination of the closed and output channels. The equation is regularized using algebraic properties of their singularities.

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