dorsal/arxiv
View SchemaCalculation of $g_{\pi NS_{11}}$ and $g_{\eta NS_{11}}$ Couplings in QCD Sum Rules
| Authors | Hungchong Kim, Su Houng Lee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9704035 |
| URL | https://arxiv.org/abs/nucl-th/9704035 |
| DOI | 10.1103/PhysRevD.56.4278 |
| Journal | Phys.Rev. D56 (1997) 4278-4281 |
Abstract
We calculate the coupling constants, $g_{\pi NS_{11}}$ and $g_{\eta NS_{11}}, using QCD sum rules in the presence of an external meson field. A covariant derivative is introduced within the S_{11} interpolating field so that in the nonrelativistic limit the field dominantly reduces to two quarks in the s-wave state and one quark in the p-wave state. Our result for the couplings obtained by further making use of the soft-meson theorem qualitatively agrees with its phenomenological value extracted from the S_{11}(1535) decay width. The prediction for the couplings however depend on the value of quark-gluon condensate, $< {\bar q} g_s \sigma \cdot {\cal G} q >$, which is also important in the calculation of the S_{11}(1535) mass itself within the sum rule approach.
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"abstract": "We calculate the coupling constants, $g_{\\pi NS_{11}}$ and $g_{\\eta NS_{11}},\nusing QCD sum rules in the presence of an external meson field. A covariant\nderivative is introduced within the S_{11} interpolating field so that in the\nnonrelativistic limit the field dominantly reduces to two quarks in the s-wave\nstate and one quark in the p-wave state. Our result for the couplings obtained\nby further making use of the soft-meson theorem qualitatively agrees with its\nphenomenological value extracted from the S_{11}(1535) decay width. The\nprediction for the couplings however depend on the value of quark-gluon\ncondensate, $\u003c {\\bar q} g_s \\sigma \\cdot {\\cal G} q \u003e$, which is also important\nin the calculation of the S_{11}(1535) mass itself within the sum rule\napproach.",
"arxiv_id": "nucl-th/9704035",
"authors": [
"Hungchong Kim",
"Su Houng Lee"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevD.56.4278",
"journal_ref": "Phys.Rev. D56 (1997) 4278-4281",
"title": "Calculation of $g_{\\pi NS_{11}}$ and $g_{\\eta NS_{11}}$ Couplings in QCD Sum Rules",
"url": "https://arxiv.org/abs/nucl-th/9704035"
},
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