Applying the relativistic quantization condition to a three-particle bound state in a periodic box

Hansen, Maxwell T.; Sharpe, Stephen R.

doi:10.1103/PhysRevD.95.034501

Title: Applying the relativistic quantization condition to a three-particle bound state in a periodic box

Journal Article · Fri Feb 03 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.034501· OSTI ID:1595806

Hansen, Maxwell T. ^[1]; Sharpe, Stephen R. ^[2]

Johannes Gutenberg Univ., Mainz (Germany)
Univ. of Washington, Seattle, WA (United States)

Using our recently developed relativistic three-particle quantization condition, we study the finite-volume energy shift of a spin-zero three-particle bound state. Furthermore, we reproduce the result obtained using non-relativistic quantum mechanics by Meissner, Rios and Rusetsky, and generalize the finding to a moving frame.

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011637

OSTI ID:: 1595806

Alternate ID(s):: OSTI ID: 1342614

Journal Information:: Physical Review D, Vol. 95, Issue 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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References (19)

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Three-body unitarity in the finite volume Mai, M.; Döring, M. The European Physical Journal A, Vol. 53, Issue 12 https://doi.org/10.1140/epja/i2017-12440-1	journal	December 2017
Opportunities for Lattice QCD in quark and lepton flavor physics Lehner, Christoph; Meinel, Stefan; Blum, Tom The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12891-2	journal	November 2019
Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations Romero-López, F.; Rusetsky, A.; Urbach, C. The European Physical Journal C, Vol. 78, Issue 10 https://doi.org/10.1140/epjc/s10052-018-6325-8	journal	October 2018
Phenomenology of relativistic $$\mathbf {3}\rightarrow \mathbf {3}$$ 3 → 3 reaction amplitudes within the isobar approximation Jackura, A.; Fernández-Ramírez, C.; Mathieu, V. The European Physical Journal C, Vol. 79, Issue 1 https://doi.org/10.1140/epjc/s10052-019-6566-1	journal	January 2019
Three-body spectrum in a finite volume: the role of cubic symmetry Döring, M.; Hammer, H. -W.; Mai, M. GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt https://doi.org/10.15120/gsi-2019-00687	text	January 2018
Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.1701.07465	text	January 2017
Three-particle quantization condition in a finite volume: 1. The role of the three-particle force Hammer, H. -W.; Pang, J. -Y.; Rusetsky, A. arXiv https://doi.org/10.48550/arxiv.1706.07700	text	January 2017
Three-body Unitarity in the Finite Volume Mai, M.; Döring, M. arXiv https://doi.org/10.48550/arxiv.1709.08222	text	January 2017
Three-particle bound states in a finite volume: unequal masses and higher partial waves Meng, Yu; Liu, Chuan; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.1712.08464	text	January 2017
Three-body spectrum in a finite volume: the role of cubic symmetry Döring, M.; Hammer, H. -W.; Mai, M. arXiv https://doi.org/10.48550/arxiv.1802.03362	text	January 2018
Numerical study of the relativistic three-body quantization condition in the isotropic approximation Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.1803.04169	text	January 2018
Energy shift of the three-particle system in a finite volume Pang, Jin-Yi; Wu, Jia-Jun; Hammer, H. -W. arXiv https://doi.org/10.48550/arxiv.1902.01111	text	January 2019
Opportunities for lattice QCD in quark and lepton flavor physics Lehner, Christoph; Meinel, Stefan; Blum, Tom arXiv https://doi.org/10.48550/arxiv.1904.09479	text	January 2019

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finite volume
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Title: Applying the relativistic quantization condition to a three-particle bound state in a periodic box

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