Wednesday, March 7, 2012

1203.1241 (Kathryn Polejaeva et al.)

Three particles in a finite volume    [PDF]

Kathryn Polejaeva, Akaki Rusetsky
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.
View original: http://arxiv.org/abs/1203.1241

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