Mar 12 – 16, 2018
GGI
Europe/Rome timezone

Unitarity constraint on three-to-three scattering amplitude

Mar 12, 2018, 12:30 PM
30m
GGI

GGI

Firenze

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)

Presentation materials