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2017

Three-body Unitarity in the Finite Volume

Mai, M., Döring, M.

Understand

The physical interpretation of lattice QCD simulations, performed in a small volume, requires an extrapolation to the infinite volume.

A method is proposed to perform such an extrapolation for three interacting particles at energies above threshold.
For this, a recently formulated relativistic $3\to 3$ amplitude based on the isobar formulation is adapted to the finite volume.
The guiding principle is two- and three-body unitarity that imposes the imaginary parts of the amplitude in the infinite volume.