Coupled channel approach to (S,I)=(-2,0) baryon-baryon interactions from lattice QCD

Understand

We investigate baryon-baryon interactions with strangeness $S=-2$ and isospin I=0 system from Lattice QCD.

• In order to solve this system, we prepare three types of baryon-baryon operators ($\Lambda\Lambda$, $N\Xi$ and $\Sigma\Sigma$) for the sink and construct three source operators diagonalizing the $3\times3$ correlation matrix.
• Combining of the prepared sink operators with the diagonalized source operators, we obtain nine effective Nambu-Bethe-Salpeter (NBS) wave functions.
• The $3\times3$ potential matrix is calculated by solving the coupled-channel Schr\"odinger equation.