Lattice QCD and Three-Particle Decays of Resonances

Hansen, Maxwell T.; Sharpe, Stephen R.

doi:10.1146/annurev-nucl-101918-023723

Title: Lattice QCD and Three-Particle Decays of Resonances

Journal Article · 18 October 2019 · Annual Review of Nuclear and Particle Science

DOI: https://doi.org/10.1146/annurev-nucl-101918-023723 · OSTI ID:1595798

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

European Organization for Nuclear Research (CERN), Geneva (Switzerland); University of Washington
Univ. of Washington, Seattle, WA (United States)

The majority of strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered X, Y, and Z resonances. In order to study such resonances from first principles using lattice QCD, one must understand finite-volume effects for three particles in the cubic box used in calculations. Here, we review efforts to develop a three-particle quantization condition that relates finite-volume energies to infinite-volume scattering amplitudes. We describe in detail the three approaches that have been followed, and present new results on the relationship between the corresponding results. Furthermore, we show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011637

OSTI ID:: 1595798

Journal Information:: Annual Review of Nuclear and Particle Science, Journal Name: Annual Review of Nuclear and Particle Science Journal Issue: 1 Vol. 69; ISSN 0163-8998

Publisher:: Annual ReviewsCopyright Statement

Country of Publication:: United States

Language:: English

Cited By (8)

Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.114505	journal	December 2019
Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W. arXiv https://doi.org/10.48550/arxiv.1909.10357	text	January 2019
Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions Briceño, Raúl A.; Davoudi, Zohreh; Hansen, Maxwell T. Physical Review D, Vol. 101, Issue 1 https://doi.org/10.1103/physrevd.101.014509	journal	January 2020
Three-body unitarity versus finite-volume π + π + π + spectrum from lattice QCD Mai, M.; Döring, M.; Culver, C. Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/physrevd.101.054510	journal	March 2020
Three-body unitarity versus finite-volume $π^+π^+π^+$ spectrum from lattice QCD Mai, M.; Döring, M.; Culver, C. arXiv https://doi.org/10.48550/arxiv.1909.05749	text	January 2019
I = 3 Three-Pion Scattering Amplitude from Lattice QCD Blanton, Tyler D.; Romero-López, Fernando; Sharpe, Stephen R. Physical Review Letters, Vol. 124, Issue 3 https://doi.org/10.1103/physrevlett.124.032001	journal	January 2020
Scattering amplitudes and contour deformations Eichmann, Gernot; Duarte, Pedro; Peña, M. T. Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/physrevd.100.094001	journal	November 2019
Scattering amplitudes and contour deformations Eichmann, Gernot; Duarte, Pedro; Peña, M. T. arXiv https://doi.org/10.48550/arxiv.1907.05402	text	January 2019