36th Annual International Symposium on Lattice Field Theory

3-body quantization condition in unitary isobar formalism

23 Jul 2018, 16:30

20m

105 (Kellogg Hotel and Conference Center)

Parallel Hadron Spectroscopy and Interactions Hadron Spectroscopy and Interactions

Speaker

Dr Maxim Mai (The George Washington University)

Description

In the isobar parametrization the three-particle states are populated via an interacting two-particle system (resonant or non-resonant), and a spectator. Using this formulation, we derive the isobar-spectator amplitude such that the three-body Unitarity is ensured exactly (arXiv:1706.06118). Unitarity constrains the imaginary parts of such an amplitude, which determine the power-law finite-volume effects to ensure the correct 3-body quantization condition. The derivation of the latter in the present formalism (arXiv:1709.08222) as well as its subsequent application for the determination of the finite-volume energy spectrum in realistic systems will be presented in this talk.

Presentation materials

Slides

MaximMai-3bQC.pdf