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

TL;DR

This study uses lattice QCD with heavier quarks to explore the existence of the $H$ dibaryon, analyzing multiple channels and scattering amplitudes to understand its properties.

Contribution

First lattice QCD investigation of the $H$ dibaryon with $N_f=2+1$ quarks at heavier-than-physical masses using correlation matrices and scattering analysis.

Findings

Preliminary evidence on the $H$ dibaryon spectrum.

Analysis of $ ext{Lambda} ext{Lambda}$, $N ext{Xi}$, $ ext{Sigma} ext{Sigma}$ channels.

Methodology for future physical quark mass studies.

Abstract

We present preliminary results on the $I=0$, $S=-2$ $H$ dibaryon in $N_{\rm f}=2+1$ 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, $\Lambda\Lambda$, $N\Xi$, $\Sigma\Sigma$, 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.