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arXiv · 1203.1241

Three particles in a finite volume

Kathryn Polejaeva·Akaki Rusetsky
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Abstract

Within the non-relativistic potential scattering theory, we derive a generalized version of the Lüscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes.

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Kathryn Polejaeva, Akaki Rusetsky. 2012-04-24. Three particles in a finite volume. https://doi.org/10.1140/epja%2Fi2012-12067-8

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