Speaker
Dr
Maxim Mai
(The George Washington University)
Description
Parameterizing the two-body scattering amplitude by an isobar in each partial wave, we are able to express the three-body scattering amplitude in terms of the isobar propagator and isobar-spectator scattering amplitude in terms of Bethe-Salpeter equation. Analytic properties of all building blocks are determined exactly, imposing three-body unitarity. Subsequently dispersion relations are used to determine explicit form of the three-to-three scattering amplitude.
Subsequent application towards the determination of the finite-volume energy spectrum will be presented at the end of the talk.
Primary author
Dr
Maxim Mai
(The George Washington University)
Co-authors
Prof.
Adam Szczepaniak
(Indiana University)
Alessandro Pilloni
(ROMA1)
Dr
Bin Hu
(GWU)
Prof.
Michael Doring
(GWU)