Regular Article - Theoretical Physics
Three particles in a finite volume
Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
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Accepted: 20 March 2012
Published online: 17 May 2012
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2012