Three particles in a finite volume

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.

40 pages, 2 figures

References in corpus (7)

• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Scalar mesons in a finite volume
• Efimov physics in a finite volume
• Lattice QCD determination of patterns of excited baryon states
• The triton in a finite volume
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• Chiral corrections to the Roper mass

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