Pushing the limits of the three-particle quantization condition with lattice QCD

by Dr Andrew Hanlon (Brookhaven National Laboratory)

Monday 9 May 2022, 15:00 → 16:00 Europe/Berlin

Performing first-principles calculations of three-body systems is essential to fully address open questions like those surrounding the Roper resonance or the hyperon puzzle in neutron stars. The last decade has seen significant progress toward the theoretical frameworks necessary for constraining three-hadron interactions from lattice QCD. However, to date only systems of three spinless mesons are completely understood. Still, the available formalisms have been successfully applied for these systems by several groups, although generally only with a relatively modest set of finite-volume energies to constrain the interactions. Our goal has been to push the current frameworks to their limits by extracting hundreds of energies. Here, I will present work on this for three-pion and three-kaon systems with maximal isospin utilizing three CLS ensembles with pion masses of 200, 280, and 340 MeV at fixed lattice spacing. We find, for the first time, the need to include d-wave interactions in both the two- and three-particle systems. I will also present preliminary results on mixed-flavor systems.

Berlin_DESY_2022-05-09_hanlon.pdf