{"title":"Lattice QCD and Three-Particle Decays of Resonances","authors":"M. Hansen, S. Sharpe","doi":"10.1146/annurev-nucl-101918-023723","DOIUrl":null,"url":null,"abstract":"Most 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. 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.","PeriodicalId":8090,"journal":{"name":"Annual Review of Nuclear and Particle Science","volume":"1 1","pages":""},"PeriodicalIF":9.1000,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1146/annurev-nucl-101918-023723","citationCount":"103","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annual Review of Nuclear and Particle Science","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1146/annurev-nucl-101918-023723","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 103
Abstract
Most 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. 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.
期刊介绍:
The Annual Review of Nuclear and Particle Science is a publication that has been available since 1952. It focuses on various aspects of nuclear and particle science, including both theoretical and experimental developments. The journal covers topics such as nuclear structure, heavy ion interactions, oscillations observed in solar and atmospheric neutrinos, the physics of heavy quarks, the impact of particle and nuclear physics on astroparticle physics, and recent advancements in accelerator design and instrumentation.
One significant recent change in the journal is the conversion of its current volume from gated to open access. This conversion was made possible through Annual Reviews' Subscribe to Open program. As a result, all articles published in the current volume are now freely available to the public under a CC BY license. This change allows for greater accessibility and dissemination of research in the field of nuclear and particle science.