Three particles in a finite volume

Details Three particles in a finite volume Three particles in a finite volume

2012-03-06

arxiv.org/abs/1203.1241v2

Physics

High Energy Physics

High Energy Physics - Lattice

40 pages, 2 figures

Scientific paper

Within the non-relativistic potential scattering theory, we derive a generalized version of the L\"uscher 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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