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

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.

arXiv comment15 pages, 1 figure, final version to appear in PRD

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• Lattice study of flavor SU(3) breaking in hyperon beta decay
• Exotic bound states of two baryons in light of chiral effective field theory
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Do $\Xi \Xi$ bound states exist?
• Weak vector and axial-vector form factors in the chiral constituent quark model with configuration mixing
• Baryon Fields with U_L(3) \times U_R(3) Chiral Symmetry: Axial Currents of Nucleons and Hyperons
• Negative parity $\Lambda$ and $\Sigma$ resonances coupled to pseudoscalar and vector mesons
• Extended Goldberger-Treiman relation obtained in a three-flavor parity doublet model
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• Baryon Fields with U_L(3) times U_R(3) Chiral Symmetry III: Interactions with Chiral (3,3_bar)+(3_bar,3) Spinless Mesons
• Baryons with U_L(3)*U_R(3) Chiral Symmetry IV: Interactions with Chiral (8,1)+(1,8) Vector and Axial-vector Mesons and Anomalous Magnetic Moments
• Test of SU(3) Symmetry in Hyperon Semileptonic Decays
• Baryon fields with $U_L(3)\times U_R(3)$ chiral symmetry V: Pion-Nucleon and Kaon-Nucleon $\Sigma$ Terms
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
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• Strange Mass Corrections to Hyperonic Semi-leptonic Decay in Statistical Model
• Effect of isoscalar and isovector scalar fields on baryon semileptonic decays in nuclear matter
• Exotic and Non-Exotic Baryon Properties on the Light Cone
• The effects of flavour symmetry breaking on hadron matrix elements
• Vector- and Pseudoscalar-baryon coupled channel systems
• Study of vector and axial-vector form factors and the decay parameters for the semileptonic hyperon decays