Scattering processes and resonances from lattice QCD

Raúl A. Briceño, Jozef J. Dudek, and Ross D. Young
Rev. Mod. Phys. 90, 025001 – Published 18 April 2018

Abstract

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 article 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. The challenges which currently limit the field are discussed along with the steps being taken to resolve them.

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  • Received 10 July 2017

DOI:https://doi.org/10.1103/RevModPhys.90.025001

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Raúl A. Briceño*

  • Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA and Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA

Jozef J. Dudek

  • Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA and Department of Physics, College of William and Mary, Williamsburg, Virginia 23187, USA

Ross D. Young

  • Special Research Center for the Subatomic Structure of Matter (CSSM), Department of Physics, University of Adelaide, Adelaide 5005, Australia

  • *rbriceno@jlab.org
  • dudek@jlab.org
  • ross.young@adelaide.edu.au

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Issue

Vol. 90, Iss. 2 — April - June 2018

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