Lattice QCD and Three-Particle Decays of Resonances

By M. Hansen, Stephen R. Sharpe. Annual Review of Nuclear and Particle Science, 2019

157 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b64ecd60a230a131740f78d6b3f4078e77a37042

Citations in the corpus

• The XYZ states: Experimental and theoretical status and perspectives (2019, unknown): “[858–877].”