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Annual Review of Nuclear and Particle Science

Volume 69, 2019

Lattice QCD and Three-Particle Decays of Resonances

Abstract

Most strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered , , and 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. 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. We show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.

Keyword(s): finite-volume quantum field theory, lattice QCD, resonances, three-particle quantization condition
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/content/journals/10.1146/annurev-nucl-101918-023723
2019-10-19
2024-12-14
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/content/journals/10.1146/annurev-nucl-101918-023723
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Lattice QCD and Three-Particle Decays of Resonances
Annual Review of Nuclear and Particle Science 69, 65 (2019); https://doi.org/10.1146/annurev-nucl-101918-023723
/content/journals/10.1146/annurev-nucl-101918-023723
/content/journals/10.1146/annurev-nucl-101918-023723
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