Speaker
Dr
Maxim Mai
(The George Washington University)
Description
The interacting three-particle states are populated via an interacting two-particle sub-system (resonant or non-resonant), and a spectator. Using this formulation, we derive the relativistic isobar-spectator amplitude such that the three-body Unitarity is ensured exactly (*arXiv:1706.06118*).
Unitarity constrains the imaginary parts of such an amplitude in infinite volume. In the finite volume this determines the leading power-law finite-volume effects allowing for a derivation of a highly desired 3-body quantization condition. Short derivation of the latter in the present formalism (*arXiv:1709.08222*) as well as a subsequent application to the physical system for which Lattice results exist (*arXiv:1807.04746*) will be presented in this talk.
Primary author
Dr
Maxim Mai
(The George Washington University)
Co-author
Dr
Michael Doering
(The George Washington University)