### Abstract

Using QCD sum rules, we compute the diagonal meson-baryon couplings, πNN , ηNN , πΞΞ , ηΞΞ , πΣΣ and ηΣΣ , from the baryon-baryon correlation function with a meson: i∫d^{4}xe^{iq·x}〈0TJ_{B}(x)J̄ _{B}(0)M(p)〉 . The calculations are performed to leading order in p_{μ} by considering the two separate Dirac structures, iγ_{5}γ_{μ}p^{μ} and γ_{5}σ_{μν}q^{μ}p^{ν} separately. We first improve the previous sum rule calculations on these Dirac structures for the πNN coupling by including three-particle pion wave functions of twist 4 and then extend the formalism to calculate the other couplings, ηNN , πΞΞ , ηΞΞ , πΣΣ and ηΣΣ . 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.

Original language | English |
---|---|

Pages (from-to) | 295-320 |

Number of pages | 26 |

Journal | Nuclear Physics A |

Volume | 678 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2000 Oct 9 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*678*(3), 295-320. https://doi.org/10.1016/S0375-9474(00)00330-4

}

*Nuclear Physics A*, vol. 678, no. 3, pp. 295-320. https://doi.org/10.1016/S0375-9474(00)00330-4

**The F/D ratio and meson-baryon couplings from QCD sum rules II.** / Kim, Hungchong; Doi, Takumi; Oka, Makoto; Lee, Su Houng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The F/D ratio and meson-baryon couplings from QCD sum rules II

AU - Kim, Hungchong

AU - Doi, Takumi

AU - Oka, Makoto

AU - Lee, Su Houng

PY - 2000/10/9

Y1 - 2000/10/9

N2 - Using QCD sum rules, we compute the diagonal meson-baryon couplings, πNN , ηNN , πΞΞ , ηΞΞ , πΣΣ and ηΣΣ , from the baryon-baryon correlation function with a meson: i∫d4xeiq·x〈0TJB(x)J̄ B(0)M(p)〉 . The calculations are performed to leading order in pμ by considering the two separate Dirac structures, iγ5γμpμ and γ5σμνqμpν separately. We first improve the previous sum rule calculations on these Dirac structures for the πNN coupling by including three-particle pion wave functions of twist 4 and then extend the formalism to calculate the other couplings, ηNN , πΞΞ , ηΞΞ , πΣΣ and ηΣΣ . 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.

AB - Using QCD sum rules, we compute the diagonal meson-baryon couplings, πNN , ηNN , πΞΞ , ηΞΞ , πΣΣ and ηΣΣ , from the baryon-baryon correlation function with a meson: i∫d4xeiq·x〈0TJB(x)J̄ B(0)M(p)〉 . The calculations are performed to leading order in pμ by considering the two separate Dirac structures, iγ5γμpμ and γ5σμνqμpν separately. We first improve the previous sum rule calculations on these Dirac structures for the πNN coupling by including three-particle pion wave functions of twist 4 and then extend the formalism to calculate the other couplings, ηNN , πΞΞ , ηΞΞ , πΣΣ and ηΣΣ . 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.

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U2 - 10.1016/S0375-9474(00)00330-4

DO - 10.1016/S0375-9474(00)00330-4

M3 - Article

VL - 678

SP - 295

EP - 320

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 3

ER -