Two-particle multichannel systems in a finite volume with arbitrary spin

Briceno, Raul A.

doi:10.1103/PhysRevD.89.074507

Title: Two-particle multichannel systems in a finite volume with arbitrary spin

Journal Article · Tue Apr 08 00:00:00 EDT 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.89.074507· OSTI ID:1128677

Briceno, Raul A. ^[1]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (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 with either periodic or twisted boundary conditions is presented. The condition presented is in agreement with all previous studies of two-body systems in a finite volume. The result is relativistic, holds for all momenta below the three- and four-particle thresholds, and is exact up to exponential volume corrections that are governed by L/r, where L is the spatial extent of the volume and r is the range of the interactions between the particles. With hadronic systems the range of the interaction is set by the inverse of the pion mass, m_π, and as a result the formalism presented is suitable for m_πL>>1. Implications of the formalism for the studies of multichannel baryon-baryon systems are discussed.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1128677

Report Number(s):: JLAB-THY-14-1833; DOE/OR/23177-2952; arXiv:1401.3312; TRN: US1600827

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 89, Issue 7; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 115 works

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Hadron spectroscopy from lattice quantum chromodynamics Ryan, Sinéad M. EPJ Web of Conferences, Vol. 130 https://doi.org/10.1051/epjconf/201613001002	journal	January 2016
Hadron structure and spectrum from the lattice Lang, C. B. XVITH INTERNATIONAL CONFERENCE ON HADRON SPECTROSCOPY: Hadron2015, AIP Conference Proceedings https://doi.org/10.1063/1.4949370	conference	January 2016
Hadrons and nuclei Detmold, William; Edwards, Robert G.; Dudek, Jozef J. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12902-4	journal	November 2019
On the determination of Ω − Ω scattering amplitudes from finite volume spectra Li, Ning; Wu, Ya-Jie International Journal of Modern Physics A, Vol. 31, Issue 35 https://doi.org/10.1142/s0217751x16501840	journal	December 2016
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
Scattering cluster wave functions on the lattice using the adiabatic projection method Rokash, Alexander; Pine, M.; Elhatisari, S. Proceedings of The 8th International Workshop on Chiral Dynamics — PoS(CD15) https://doi.org/10.22323/1.253.0117	conference	June 2016
Nucleon- J/ψ and nucleon- ηc scattering in Pc pentaquark channels from lattice QCD Skerbis, U.; Prelovsek, S. Universität Regensburg https://doi.org/10.5283/epub.45504	text	January 2019
Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD Detmold, William; McCullough, Matthew; Pochinsky, Andrew arXiv https://doi.org/10.48550/arxiv.1406.4116	text	January 2014
Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude Hansen, Maxwell T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.1504.04248	text	January 2015
Hadron Structure and Spectrum from the Lattice Lang, C. B. arXiv https://doi.org/10.48550/arxiv.1512.05545	text	January 2015
Three-body Unitarity in the Finite Volume Mai, M.; Döring, M. arXiv https://doi.org/10.48550/arxiv.1709.08222	text	January 2017
The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD Hughes, Ciaran; Eichten, Estia; Davies, Christine T. H. arXiv https://doi.org/10.48550/arxiv.1710.03236	text	January 2017
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
Three-particle systems with resonant subprocesses in a finite volume Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. arXiv https://doi.org/10.48550/arxiv.1810.01429	text	January 2018
Scattering amplitudes from finite-volume spectral functions Bulava, John; Hansen, Maxwell T. arXiv https://doi.org/10.48550/arxiv.1903.11735	text	January 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

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