Speaker
Description
We study decuplet baryons from meson-baryon interactions. We report the analysis of the P-wave $\pi N$ interaction with isospin $I=3/2$ and the $\bar{K}\Xi$ interaction with $I=0$, which have channels to a $\Delta$ and $\Omega$ baryon, respectively. The interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators at $m_{\pi} \approx 410~\text{MeV}$. We use the conventional stochastic estimation of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuation. The scattering phase shifts estimated by using the potentials indicate that the $\Delta$ and $\Omega$ baryon exist as bound states in this setup. The results of the binding energies are consistent with those estimated from the 2-point functions.
