The 39th International Symposium on Lattice Field Theory (Lattice 2022)

pi+pi+K+ and pi+K+K+ interactions from the lattice

8 Aug 2022, 14:00

20m

CP1-HSZ/0.010 (CP1-HSZ) - HS2 (CP1-HSZ)

Oral Presentation Hadron Spectroscopy and Interactions Hadron Spectroscopy and Interactions

Speaker

Stephen Sharpe (University of Washington)

Description

We present results for the energy levels for two pions and a kaon, and two kaons and a pion, all at maximal isospin, on CLS ensembles D200 and N203, with pion/kaon masses of
200/480 MeV and 340/440 MeV, respectively. We use multiple frames, and have determined many energy levels on each ensemble. We fit these levels, together with those for $2{\pi }^{+}$, $2K^{+}$ and ${\pi }^{+}{K}^{+}$, to the predictions of the 2+1 three-particle quantization condition, and thus determine two- and three-particle K matrices. We compare our results to the expectations of chiral perturbation theory. Issues that arise in the implementation of the 2+1 quantization condition are discussed.

Presentation materials

sharpe_lat22.pdf