Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-02-03
Nucl.Phys. A678 (2000) 295-320
Physics
Nuclear Physics
Nuclear Theory
28 pages including 4 figures. slightly revised. accepted for publication in Nuclear Physics A
Scientific paper
10.1016/S0375-9474(00)00330-4
Using QCD sum rules, we compute the diagonal meson-baryon couplings, $\pi NN$, $\eta NN$, $\pi \Xi\Xi$, $\eta \Xi\Xi$, $\pi \Sigma \Sigma$ and $\eta \Sigma \Sigma$, from the baryon-baryon correlation function with a meson, $i\int d^4x e^{iq\cdot x} < 0| T J_B(x) {\bar J}_B(0)|M(p)>$. The calculations are performed to leading order in $p_\mu$ by considering the two separate Dirac structures, $i \gamma_5 \gamma_\mu p^\mu$ and $\gamma_5 \sigma_{\mu \nu} {q^\mu p^\nu}$ separately. We first improve the previous sum rule calculations on these Dirac structures for the $\pi NN$ coupling by including three-particle pion wave functions of twist 4 and then extend the formalism to calculate the other couplings, $\eta NN$, $\pi \Xi\Xi$, $\eta \Xi\Xi$, $\pi \Sigma \Sigma$ and $\eta \Sigma \Sigma$. In the SU(3) symmetric limit, we identify the terms responsible for the $F/D$ ratio in the OPE by matching the obtained couplings with their SU(3) relations. Depending on the Dirac structure considered, we find different identifications for the $F/D$ ratio. The couplings including the SU(3) breaking effects are also discussed within our approach.
Doi Takumi
Kim Hungchong
Lee Su Houng
Oka Makoto
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