Scattering processes and resonances from lattice QCD

Briceno, Raul A.; Dudek, Jozef J.; Young, Ross D.

doi:10.1103/RevModPhys.90.025001

Title: Scattering processes and resonances from lattice QCD

Journal Article · Wed Apr 18 00:00:00 EDT 2018 · Reviews of Modern Physics

DOI:https://doi.org/10.1103/RevModPhys.90.025001· OSTI ID:1433802

Briceno, Raul A. ^[1]; Dudek, Jozef J. ^[2]; Young, Ross D. ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
Univ. of Adelaide, SA (Australia). Special Research Center for the Subatomic Structure of Matter (CSSM). Dept. of Physics

The vast majority of hadrons observed in nature are not stable under the strong interaction; rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron resonances offers a window into the workings of quantum chromodynamics (QCD) in the low-energy nonperturbative region, and in addition many probes of the limits of the electroweak sector of the standard model consider processes which feature hadron resonances. From a theoretical standpoint, this is a challenging field: the same dynamics that binds quarks and gluons into hadron resonances also controls their decay into lighter hadrons, so a complete approach to QCD is required. Presently, lattice QCD is the only available tool that provides the required nonperturbative evaluation of hadron observables. This paper reviews progress in the study of few-hadron reactions in which resonances and bound states appear using lattice QCD techniques. The leading approach is described that takes advantage of the periodic finite spatial volume used in lattice QCD calculations to extract scattering amplitudes from the discrete spectrum of QCD eigenstates in a box. An explanation is given of how from explicit lattice QCD calculations one can rigorously garner information about a variety of resonance properties, including their masses, widths, decay couplings, and form factors. Finally, the challenges which currently limit the field are discussed along with the steps being taken to resolve them.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States); Univ. of Adelaide, SA (Australia)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Australian Research Council

Grant/Contract Number:: AC05-06OR23177; SC0016952; CE110001004; FT120100821; DP14010306

OSTI ID:: 1433802

Alternate ID(s):: OSTI ID: 1433573

Report Number(s):: JLAB-THY-17-2495; DOE/OR/23177-4283; arXiv:1706.06223; TRN: US1802353

Journal Information:: Reviews of Modern Physics, Vol. 90, Issue 2; ISSN 0034-6861

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 170 works

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The <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math> scattering length from maximally twisted mass lattice QCD Feng, Xu; Jansen, Karl; Renner, Dru Physics Letters B, Vol. 684, Issue 4-5 https://doi.org/10.1016/j.physletb.2010.01.018	journal	February 2010
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Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED Horsley, R.; Nakamura, Y.; Perlt, H. arXiv https://doi.org/10.48550/arxiv.1508.06401	text	January 2015
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Scattering phaseshift formulas for mesons and baryons in elongated boxes Lee, Frank X.; Alexandru, Andrei arXiv https://doi.org/10.48550/arxiv.1706.00262	text	January 2017
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Decay width of light quark hybrid meson from the lattice McNeile, C.; Michael, C. arXiv https://doi.org/10.48550/arxiv.hep-lat/0603007	text	January 2006
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Mass and width of the lowest resonance in QCD Caprini, Irinel; Colangelo, Gilberto; Leutwyler, Heinrich arXiv https://doi.org/10.48550/arxiv.hep-ph/0512364	text	January 2005
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