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Title: Two-particle multichannel systems in a finite volume with arbitrary spin

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. 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 πL>>1. Implications of the formalism for the studies of multichannel baryon-baryon systems are discussed.
Authors:
 [1]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Report Number(s):
JLAB-THY-14-1833; DOE/OR/23177-2952; arXiv:1401.3312
Journal ID: ISSN 1550-7998; TRN: US1600827
Grant/Contract Number:
AC05-06OR23177
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 1550-7998
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. Two-particle multichannel systems in a finite volume with arbitrary spin. United States: N. p., Web. doi:10.1103/PhysRevD.89.074507.
Briceno, Raul A. Two-particle multichannel systems in a finite volume with arbitrary spin. United States. doi:10.1103/PhysRevD.89.074507.
Briceno, Raul A. 2014. "Two-particle 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 = {Two-particle multichannel systems in a finite volume with arbitrary spin},
author = {Briceno, Raul A.},
abstractNote = {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. 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 baryon-baryon 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}
}