Coupled-channel calculations in K- Ξ0, K̄0 Ξ-, K*- Ξ0 and K̄*0 Ξ- channels generate an isoscalar 1/2- resonance at 2109 MeV strongly correlated with the K̄* Ξ system.
F and D Values with Explicit Flavor Symmetry Breaking and \Delta s Contents of Nucleons
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abstract
We propose a new model for describing baryon semi-leptonic decays for estimating $F$ and $D$ values with explicit breaking effects of both SU(3) and SU(2) flavor symmetry, where all possible SU(3) and SU(2) breaking effects are induced from an effective interaction. An overall fit including the weak magnetism form factor yields $F=0.477\pm 0.001$ and $D=0.835\pm 0.001$ with $\chi^2=4.43/5$ d.o.f. with $V_{ud}=0.975\pm 0.002$ and $V_{us}=0.221\pm 0.002$. The spin content of strange quarks $\Delta s$ is estimated from the obtained values $F$ and $D$, and the nucleon spin problem is re-examined. Furthermore, the unmeasured values of $(g_1/f_1)$ and $(g_1)$ for other hyperon semi-leptonic decays are predicted from this new formula.
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Nature of the newly found $\Omega(2109)$
Coupled-channel calculations in K- Ξ0, K̄0 Ξ-, K*- Ξ0 and K̄*0 Ξ- channels generate an isoscalar 1/2- resonance at 2109 MeV strongly correlated with the K̄* Ξ system.