dorsal/arxiv
View SchemaMeson-baryon couplings and the $F/D$ ratio from QCD sum rules
| Authors | Hungchong Kim, Takumi Doi, Makoto Oka, Su Houng Lee, - |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9909007 |
| URL | https://arxiv.org/abs/nucl-th/9909007 |
| DOI | 10.1016/S0375-9474(99)00426-1 |
| Journal | Nucl.Phys. A662 (2000) 371-394 |
Abstract
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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"abstract": "Motivated by the recent work on the calculation of the $\\pi NN$ coupling\nconstant using QCD sum rule beyond the chiral limit, we construct the\ncorresponding sum rules for the couplings, $\\eta NN$, $\\pi \\Xi\\Xi$, $\\eta\n\\Xi\\Xi$, $\\pi \\Sigma \\Sigma$ and $\\eta \\Sigma \\Sigma$. In constructing the\n$\\eta$-baryon sum rules, we use the second moment of the $\\eta$ wave function,\nwhich we obtain from the pion wave function after SU(3) rotation. In the SU(3)\nsymmetric limit, we can identify the term responsible for the $F/D$ ratio in\nthe OPE, which after the sum rule analysis gives $F/D\\sim 0.2$, a factor of 3\nsmaller than from other studies. We also present a qualitative analysis\nincluding the\n SU(3) breaking terms.",
"arxiv_id": "nucl-th/9909007",
"authors": [
"Hungchong Kim",
"Takumi Doi",
"Makoto Oka",
"Su Houng Lee",
"-"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(99)00426-1",
"journal_ref": "Nucl.Phys. A662 (2000) 371-394",
"title": "Meson-baryon couplings and the $F/D$ ratio from QCD sum rules",
"url": "https://arxiv.org/abs/nucl-th/9909007"
},
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