dorsal/arxiv
View SchemaPion-Nucleon and Kaon-Nucleon Scattering Lengths in QCD Sum Rules
| Authors | Y. Kondo, O. Morimatsu, Y. Nishino |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9409012 |
| URL | https://arxiv.org/abs/nucl-th/9409012 |
| DOI | 10.1103/PhysRevC.53.1927 |
| Journal | Phys.Rev.C53:1927-1935,1996 |
Abstract
The pion-nucleon and kaon-nucleon scattering lengths are studied in the QCD sum rule. We show that the leading and next-to-leading order terms of the OPE give rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show that in the kaon-nucleon system the $\Lambda(1405)$ contribution has to be subtracted from the OPE side in order to obtain the scattering length. The odd components of the $T$-matrices are in agreement with the experimental values not only in the pion-nucleon channel but also in the kaon-nucleon channel after the $\Lambda(1405)$ contribution subtracted. The even components disagree with the experimental values in the pion-nucleon channel, which is similar to the situation in the PCAC-plus-current-algebra approach at the Weinberg point. We speculate that this discrepancy should be explained by the continuum contribution in the spectral function above the pion-nucleon threshold.
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"abstract": "The pion-nucleon and kaon-nucleon scattering lengths are studied in the QCD\nsum rule. We show that the leading and next-to-leading order terms of the OPE\ngive rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show\nthat in the kaon-nucleon system the $\\Lambda(1405)$ contribution has to be\nsubtracted from the OPE side in order to obtain the scattering length. The odd\ncomponents of the $T$-matrices are in agreement with the experimental values\nnot only in the pion-nucleon channel but also in the kaon-nucleon channel after\nthe $\\Lambda(1405)$ contribution subtracted. The even components disagree with\nthe experimental values in the pion-nucleon channel, which is similar to the\nsituation in the PCAC-plus-current-algebra approach at the Weinberg point. We\nspeculate that this discrepancy should be explained by the continuum\ncontribution in the spectral function above the pion-nucleon threshold.",
"arxiv_id": "nucl-th/9409012",
"authors": [
"Y. Kondo",
"O. Morimatsu",
"Y. Nishino"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.53.1927",
"journal_ref": "Phys.Rev.C53:1927-1935,1996",
"title": "Pion-Nucleon and Kaon-Nucleon Scattering Lengths in QCD Sum Rules",
"url": "https://arxiv.org/abs/nucl-th/9409012"
},
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