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Title Two-particle multichannel systems in a finite volume with arbitrary spin
Authors Raul Briceno
JLAB number JLAB-THY-14-1833
LANL number arXiv:1401.3312
Other number DOE/OR/23177-2952
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
 

Journal
Compiled for Physical Review D
Volume 89
Issue 07
Page(s) 074507
Refereed
Publication Abstract: The quantization condition for two-particle systems with arbitrary number of two-body open coupled channels, spin and masses in a finite cubic volume with either periodic or twisted boundary conditions is presented. The condition presented is in agreement with all previous studies of two-body systems in a finite volume. The result is relativistic, holds for all momenta below the three- and four-particle thresholds, and is exact up to exponential volume corrections that are governed by $L/r$, where $L$ is the spatial extent of the volume and $r$ is the range of the interactions between the particles. For hadronic systems the range of the interaction is set by the inverse of the pion mass, $m_\pi$, and as a result the formalism presented is suitable for $m_\pi L\gg1$. Implications of the formalism for the studies of multichannel baryon-baryon systems are discussed.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: http://dx.doi.org/10.1103/PhysRevD.89.074507
Accepted Manuscript:
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