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Publication Information
Title Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
Abstract In this work, we use an extension of the quantization condition, given in Ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the two-particle K matrix that required the absence of two-particle bound states or narrow two-particle resonances. In this work, we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K matrix that enters the quantization condition. With this in hand, we extend previous numerical studies of the quantization condition to explore the finite-volume signature for a variety of two- and three-particle interactions. We determine the spectrum for parameters such that the system contains both dimers (two-particle bound states) and one or more trimers (in which all three particles are bound), and
Author(s) Raul Briceno, Maxwell Hansen, Stephen Sharpe, Tyler Blanton, Fernando Romero-Lo´pez
Publication Date October 2019
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-19-3011 OSTI Number: 1574401
LANL Number: arXiv:1908.02411 Other Number: DOE/OR/23177-4759
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Journal of High Energy Physics
Refereed Yes
Volume 1910
Issue
Page(s) 7
Attachments/Datasets/DOI Link
Document(s)
largera.pdf (STI Document)
scoap3-fulltext.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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