Two Baryons with Twisted Boundary Conditions

Journal Article · Tue Apr 01 00:00:00 EDT 2014 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.89.074509· OSTI ID:1127341

Briceno, Raul ^[1]; Davoudi, Zohreh ^[2]; Luu, Thomas ^[3]; Savage, Martin ^[4]

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1. Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
2. Univ. of Washington, Seattle, WA (United States) and Institute for Nuclear Theory, Seattle, WA (United States)
3. Lawrence Livermore National Laboratory, Livermore, CA (United States)
4. Univ. of Washington, Seattle, WA (United States) and Institute for Nuclear Theory, Seattle, WA (United States)

The quantization condition for two particle systems with arbitrary number of two-body open coupled-channels, spin and masses in a finite cubic volume is presented. The condition presented is in agreement with all previous studies of two-body systems in a finite volume. The result is fully relativistic and holds for all momenta below inelastic thresholds and is exact up to exponential volume corrections that are governed by m{sub {pi}} L, where m{sub {pi}} is the pion mass and L is the spatial extent of my box. Its implication for the studies of coupled-channel baryon-baryon systems is discussed, and the necessary tools for implementing the formalism are review.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177; FG02-00ER41132
• OSTI ID: 1127341
• Report Number(s): JLAB-THY-13-1827; DOE/OR/23177-2906; arXiv:1311.7686; DFG SFB/TR 16 and SFG 634; TRN: US1400280
• Journal Information: Physical Review. D, Particles Fields, Vol. 89, Issue 07; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS