Speaker
Description
We present a lattice QCD study of two-baryon systems with strangeness $S=-2$, focusing on the $\Lambda\Lambda$ and $\Xi N$ interactions, which are essential for determining the existence of the H-dibaryon. Our calculations are performed on $N_f=2+1$ CLQCD Wilson-Clover configurations, with lattice spacings range from $a \approx 0.05-0.105~\mathrm{fm}$ and pion masses from $M_\pi \approx 135-317~\mathrm{MeV}$. Using Lüscher finite volume method, we extract the scattering phase shifts from the spectra of the two-baryon systems. The analysis is then complemented using effective range expansion to determine the scattering length and effective range. Our results indicate a consistently weak interaction in the $\Lambda\Lambda$ channel across all ensembles. In contrast, the $\Xi N$ channel exhibits a noticeable attraction, suggesting the possible presence of a virtual state.
