Twoparticle multichannel systems in a finite volume with arbitrary spin
The quantization condition for twoparticle systems with arbitrary number of twobody 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 twobody systems in a finite volume. The result is relativistic, holds for all momenta below the three and fourparticle 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. With hadronic systems the range of the interaction is set by the inverse of the pion mass, m _{π}, and as a result the formalism presented is suitable for m _{π}L>>1. Implications of the formalism for the studies of multichannel baryonbaryon systems are discussed.
 Authors:

^{[1]}
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Report Number(s):
 JLABTHY141833; DOE/OR/231772952; arXiv:1401.3312
Journal ID: ISSN 15507998; TRN: US1600827
 Grant/Contract Number:
 AC0506OR23177
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. D, Particles, Fields, Gravitation and Cosmology
 Additional Journal Information:
 Journal Volume: 89; Journal Issue: 7; Journal ID: ISSN 15507998
 Publisher:
 American Physical Society (APS)
 Research Org:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1128677
Briceno, Raul A. Twoparticle multichannel systems in a finite volume with arbitrary spin. United States: N. p.,
Web. doi:10.1103/PhysRevD.89.074507.
Briceno, Raul A. Twoparticle multichannel systems in a finite volume with arbitrary spin. United States. doi:10.1103/PhysRevD.89.074507.
Briceno, Raul A. 2014.
"Twoparticle multichannel systems in a finite volume with arbitrary spin". United States.
doi:10.1103/PhysRevD.89.074507. https://www.osti.gov/servlets/purl/1128677.
@article{osti_1128677,
title = {Twoparticle multichannel systems in a finite volume with arbitrary spin},
author = {Briceno, Raul A.},
abstractNote = {The quantization condition for twoparticle systems with arbitrary number of twobody 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 twobody systems in a finite volume. The result is relativistic, holds for all momenta below the three and fourparticle 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. With hadronic systems the range of the interaction is set by the inverse of the pion mass, mπ, and as a result the formalism presented is suitable for mπL>>1. Implications of the formalism for the studies of multichannel baryonbaryon systems are discussed.},
doi = {10.1103/PhysRevD.89.074507},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 7,
volume = 89,
place = {United States},
year = {2014},
month = {4}
}