Preliminary study of the $H$ dibaryon in $N_{\mathrm{f}}=2+1$ lattice QCD

We present preliminary results on the $I=0$, $S=-2$ $H$ dibaryon in $N_{\mathrm{f}}=2+1$ QCD. The calculation is performed with heavier-than-physical quarks ($m_{\pi }\approx 280$ MeV) on a single CLS ensemble. Correlation matrices are constructed using the distillation technique and the three relevant channels, $\mathrm{\Lambda }\mathrm{\Lambda }$, $N\mathrm{\Xi }$, $\mathrm{\Sigma }\mathrm{\Sigma }$, are investigated to determine the interacting spectrum relevant for $S$-wave across multiple momentum frames. The scattering amplitude is determined by solving the corresponding two-body quantization condition. These preliminary results are part of the ongoing efforts to determine the properties of di-hyperons and to establish whether the $H$ dibaryon exists down to physical quark masses.