dorsal/arxiv
View SchemaNew QCD Sum Rules for Nucleon Axial Vector Coupling Constants
| Authors | Frank X. Lee, Derek B. Leinweber, Xuemin Jin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9611011 |
| URL | https://arxiv.org/abs/nucl-th/9611011 |
| DOI | 10.1103/PhysRevD.55.4066 |
| Journal | Phys.Rev. D55 (1997) 4066-4082 |
Abstract
Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using a Monte-Carlo based uncertainty analysis. The results show that the standard implementation of the QCD sum rule method has only marginal predicative power for the nucleon axial coupling constants, as the relative errors are large. The errors range from approximately 50 to 100% compared to the nucleon mass obtained from the same method, which has only 10% to 25% error. The origin of the large errors is examined. Previous analyses of these coupling constants are based on sum rules that have poor OPE convergence and large continuum contributions. Preferred sum rules are identified and their predictions are obtained. We also investigate the new sum rules with an alternative treatment of the problematic transitions which are not exponentially suppressed in the standard treatment. The new treatment provides exponential suppression of their contributions relative to the ground state. Implications for other nucleon current matrix elements are also discussed.
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"abstract": "Two new sets of QCD sum rules for the nucleon axial coupling constants are\nderived using the external-field technique and generalized interpolating\nfields. An in-depth study of the predicative ability of these sum rules is\ncarried out using a Monte-Carlo based uncertainty analysis. The results show\nthat the standard implementation of the QCD sum rule method has only marginal\npredicative power for the nucleon axial coupling constants, as the relative\nerrors are large. The errors range from approximately 50 to 100% compared to\nthe nucleon mass obtained from the same method, which has only 10% to 25%\nerror. The origin of the large errors is examined. Previous analyses of these\ncoupling constants are based on sum rules that have poor OPE convergence and\nlarge continuum contributions. Preferred sum rules are identified and their\npredictions are obtained. We also investigate the new sum rules with an\nalternative treatment of the problematic transitions which are not\nexponentially suppressed in the standard treatment. The new treatment provides\nexponential suppression of their contributions relative to the ground state.\nImplications for other nucleon current matrix elements are also discussed.",
"arxiv_id": "nucl-th/9611011",
"authors": [
"Frank X. Lee",
"Derek B. Leinweber",
"Xuemin Jin"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevD.55.4066",
"journal_ref": "Phys.Rev. D55 (1997) 4066-4082",
"title": "New QCD Sum Rules for Nucleon Axial Vector Coupling Constants",
"url": "https://arxiv.org/abs/nucl-th/9611011"
},
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