F and D Values with Explicit Flavor Symmetry Breaking and Δs Contents of Nucleons

Details F and D Values with Explicit Flavor Symmetry Breaking and Δs Contents of Nucleons F and D Values with Explicit Flavor Symmetry Breaking and Δs Contents of Nucleons

2007-05-30

arxiv.org/abs/0705.4340v2

Phys.Rev.D76:014006,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 1 figure, final version to appear in PRD

Scientific paper

10.1103/PhysRevD.76.014006

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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