Three particles in a finite volume

Kathryn Polejaeva (Bonn)

Within the non-relativistic potential scattering theory, we derive a generalized version of Lüscher formula, which includes three-particle inelastic channel.  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.

(Seminarraum II)