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We investigate baryon-baryon interactions with strangeness $S=-2$ and isospinI=0 system from Lattice QCD. In order to solve this system, we prepare threetypes 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 thediagonalized source operators, we obtain nine effective Nambu-Bethe-Salpeter(NBS) wave functions. The $3\times3$ potential matrix is calculated by solvingthe coupled-channel Schr\"odinger equation. The flavor SU(3) breaking effectsof the potential matrix are also discussed by comparing with the results of theSU(3) limit calculation. Our numerical results are obtained from three sets of2+1 flavor QCD gauge configurations provided by the CP-PACS/JLQCDCollaborations.

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