Meson-baryon couplings and the $F/D$ ratio from QCD sum rules

Details Meson-baryon couplings and the $F/D$ ratio from QCD sum rules Meson-baryon couplings and the $F/D$ ratio from QCD sum rules

1999-09-07

arxiv.org/abs/nucl-th/9909007v2

Nucl.Phys. A662 (2000) 371-394

Physics

Nuclear Physics

Nuclear Theory

24 pages including 6 figures, slightly revised, to appear in Nuclear Physics A

Scientific paper

10.1016/S0375-9474(99)00426-1

Motivated by the recent work on the calculation of the $\pi NN$ coupling constant using QCD sum rule beyond the chiral limit, we construct the corresponding sum rules for the couplings, $\eta NN$, $\pi \Xi\Xi$, $\eta \Xi\Xi$, $\pi \Sigma \Sigma$ and $\eta \Sigma \Sigma$. In constructing the $\eta$-baryon sum rules, we use the second moment of the $\eta$ wave function, which we obtain from the pion wave function after SU(3) rotation. In the SU(3) symmetric limit, we can identify the term responsible for the $F/D$ ratio in the OPE, which after the sum rule analysis gives $F/D\sim 0.2$, a factor of 3 smaller than from other studies. We also present a qualitative analysis including the SU(3) breaking terms.

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