dorsal/arxiv
View SchemaIsospin Splitting in the Pion-Nucleon Couplings from QCD Sum Rules
| Authors | T. Meissner, E. M. Henley |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9706056 |
| URL | https://arxiv.org/abs/nucl-th/9706056 |
| DOI | 10.1063/1.54246 |
Abstract
We use QCD sum rules for the three point function of a pseudoscalar and two nucleonic currents in order to estimate the charge dependence of the pion nucleon coupling constant coming from isospin violation in the strong interaction. The effect can be attributed primarily to the difference of the quark condensates <ubar u> and <dbar d>. Assuming that the pi0 is a pure isostate we obtain for the splitting between the coupling of proton and neutron to the neutral pion an interval of [0.008 ; 0.023], the uncertainties coming mainly from the input parameters. In order to obtain the coupling to a physical pi0 we have to take pi - eta mixing into account leading to an interval of [0.012 ; 0.037]. The charged pion nucleon coupling is found to be the average of the two neutral ones. Electromagnetic effects are not included.
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"abstract": "We use QCD sum rules for the three point function of a pseudoscalar and two\nnucleonic currents in order to estimate the charge dependence of the pion\nnucleon coupling constant coming from isospin violation in the strong\ninteraction. The effect can be attributed primarily to the difference of the\nquark condensates \u003cubar u\u003e and \u003cdbar d\u003e. Assuming that the pi0 is a pure\nisostate we obtain for the splitting between the coupling of proton and neutron\nto the neutral pion an interval of [0.008 ; 0.023], the uncertainties coming\nmainly from the input parameters. In order to obtain the coupling to a physical\npi0 we have to take pi - eta mixing into account leading to an interval of\n[0.012 ; 0.037]. The charged pion nucleon coupling is found to be the average\nof the two neutral ones. Electromagnetic effects are not included.",
"arxiv_id": "nucl-th/9706056",
"authors": [
"T. Meissner",
"E. M. Henley"
],
"categories": [
"nucl-th"
],
"doi": "10.1063/1.54246",
"title": "Isospin Splitting in the Pion-Nucleon Couplings from QCD Sum Rules",
"url": "https://arxiv.org/abs/nucl-th/9706056"
},
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