dorsal/arxiv
View Schema$\pi NN$ coupling determined beyond the chiral limit
| Authors | Hungchong Kim |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9904049 |
| URL | https://arxiv.org/abs/nucl-th/9904049 |
| DOI | 10.1007/s100500050019 |
| Journal | Eur.Phys.J. A7 (2000) 121-125 |
Abstract
Within the conventional QCD sum rules, we calculate the $\pi NN$ coupling constant, $g_{\pi N}$, beyond the chiral limit using two-point correlation function with a pion. We consider the Dirac structure, $i\gamma_5$, at $m_\pi^2$ order, which has clear dependence on the PS and PV coupling schemes for the pion-nucleon interactions. For a consistent treatment of the sum rule, we include the linear terms in quark mass as they constitute the same chiral order as $m_\pi^2$. Using the PS coupling scheme for the pion-nucleon interaction, we obtain $g_{\pi N}=13.3\pm 1.2$, which is very close to the empirical $\pi NN$ coupling. This demonstrates that going beyond the chiral limit is crucial in determining the coupling and the pseudoscalar coupling scheme is preferable from the QCD point of view.
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"abstract": "Within the conventional QCD sum rules, we calculate the $\\pi NN$ coupling\nconstant, $g_{\\pi N}$, beyond the chiral limit using two-point correlation\nfunction with a pion. We consider the Dirac structure, $i\\gamma_5$, at\n$m_\\pi^2$ order, which has clear dependence on the PS and PV coupling schemes\nfor the pion-nucleon interactions. For a consistent treatment of the sum rule,\nwe include the linear terms in quark mass as they constitute the same chiral\norder as $m_\\pi^2$. Using the PS coupling scheme for the pion-nucleon\ninteraction, we obtain $g_{\\pi N}=13.3\\pm 1.2$, which is very close to the\nempirical $\\pi NN$ coupling. This demonstrates that going beyond the chiral\nlimit is crucial in determining the coupling and the pseudoscalar coupling\nscheme is preferable from the QCD point of view.",
"arxiv_id": "nucl-th/9904049",
"authors": [
"Hungchong Kim"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1007/s100500050019",
"journal_ref": "Eur.Phys.J. A7 (2000) 121-125",
"title": "$\\pi NN$ coupling determined beyond the chiral limit",
"url": "https://arxiv.org/abs/nucl-th/9904049"
},
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