We study decuplet baryons from meson-baryon interactions in lattice QCD, in particular, Δ and Ω baryons from P-wave I = 3/2 Nπ and I = 0 $\Xi \bar{K}$ interactions, respectively.… Click to show full abstract
We study decuplet baryons from meson-baryon interactions in lattice QCD, in particular, Δ and Ω baryons from P-wave I = 3/2 Nπ and I = 0 $\Xi \bar{K}$ interactions, respectively. Interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators at mπ ≈ 410 MeV and mK ≈ 635 MeV, where Δ as well as Ω baryons are stable. We use the conventional stochastic estimate of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuations. We have found that the $\Xi \bar{K}$ system has a weaker attraction than the Nπ system while the binding energy from the threshold is larger for Ω than Δ. This suggests that an inequality $m_{N}+m_{\pi }-m_{\Delta }
               
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