dorsal/arxiv
View SchemaThe $\pi NN$ and $\pi NN(1535)$ couplings in QCD
| Authors | Shi-Lin Zhu, W. -Y. P. Hwang, Yuan-Ben Dai |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9809033 |
| URL | https://arxiv.org/abs/nucl-th/9809033 |
| DOI | 10.1103/PhysRevC.59.442 |
| Journal | Phys.Rev.C59:442-450,1999 |
Abstract
The light cone QCD sum rules are derived for the $\pi NN$ coupling $g_{\pi NN}$ and $\pi NN(1535)$ coupling $g_{\pi NN^\ast}$. The contribution from the excited states and continuum is subtracted cleanly through double Borel transformation. We first improve the original sum rule for $g_{\pi NN}$ and determine the value of the pion wave function at the middle point $\phi_\pi (u_0 ={1\over 2})=(1.5\pm 0.2)$ at $\mu =1$GeV, which is a fundamental nonperturbative quantity like the quark condensate. Our calculation shows that the $\pi N N(1535)$ coupling is strongly suppressed.
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"abstract": "The light cone QCD sum rules are derived for the $\\pi NN$ coupling $g_{\\pi\nNN}$ and $\\pi NN(1535)$ coupling $g_{\\pi NN^\\ast}$. The contribution from the\nexcited states and continuum is subtracted cleanly through double Borel\ntransformation. We first improve the original sum rule for $g_{\\pi NN}$ and\ndetermine the value of the pion wave function at the middle point $\\phi_\\pi\n(u_0 ={1\\over 2})=(1.5\\pm 0.2)$ at $\\mu =1$GeV, which is a fundamental\nnonperturbative quantity like the quark condensate. Our calculation shows that\nthe $\\pi N N(1535)$ coupling is strongly suppressed.",
"arxiv_id": "nucl-th/9809033",
"authors": [
"Shi-Lin Zhu",
"W. -Y. P. Hwang",
"Yuan-Ben Dai"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.59.442",
"journal_ref": "Phys.Rev.C59:442-450,1999",
"title": "The $\\pi NN$ and $\\pi NN(1535)$ couplings in QCD",
"url": "https://arxiv.org/abs/nucl-th/9809033"
},
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