Progress on the three-particle quantization condition

Conference · Sat Oct 01 00:00:00 EDT 2016

OSTI ID:1362119

Briceno, Raul  ^[1]; Hansen, Mawell T. ^[2]; Sharpe, Stephen R. ^[2]

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1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
2. Univ. of Washington, Seattle, WA (United States)

We report progress on extending the relativistic model-independent quantization condition for three particles, derived previously by two of us, to a broader class of theories, as well as progress on checking the formalism. In particular, we discuss the extension to include the possibility of 2->3 and 3->2 transitions and the calculation of the finite-volume energy shift of an Efimov-like three-particle bound state. The latter agrees with the results obtained previously using non-relativistic quantum mechanics.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1362119
• Report Number(s): JLAB-THY-16-2293; DOE/OR/23177-3998; arXiv:1609.09805
• Resource Relation: Conference: LATTICE 2016, 24-30 Jul 2016. Southampton, UK
• Country of Publication: United States
• Language: English