Journal
EUROPEAN PHYSICAL JOURNAL A
Volume 48, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1140/epja/i2012-12067-8
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Funding
- EU
- DFG [SFB/TR 16]
- COSY FFE [41821485]
- Georgia National Science Foundation [GNSF/ST08/4-401]
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Within the non-relativistic potential scattering theory, we derive a generalized version of the Luscher 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.
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