https://doi.org/10.1140/epja/i2012-12067-8
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
* e-mail: polejaeva@hiskp.uni-bonn.de
Received:
20
March
2012
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
