dorsal/arxiv
View SchemaQCD Sum Rules for Nucleon-Nucleon Interactions
| Authors | Y. Kondo, O. Morimatsu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807024 |
| URL | https://arxiv.org/abs/nucl-th/9807024 |
| DOI | 10.1143/PTP.100.1 |
| Journal | Prog.Theor.Phys. 100 (1998) 1-20 |
Abstract
The QCD sum rules for spin-dependent nucleon-nucleon interactions are formulated and their physical implications are studied. The basic object of the study is the correlation function of the nucleon interpolating field, where the matrix element is taken with respect to the one-nucleon state. The dispersion integral of the correlation function around the nucleon threshold is investigated in detail. It turns out that the integral can be identified as a measure of the nucleon-nucleon interaction strength, which is proportional to the scattering length in the small scattering length limit and to one half of the effective range in the large scattering length limit. New operators must be taken into account in the OPE of the correlation function. There behavior operators do not vanish when the matrix element is taken with respect to the spin-nonaveraged one-nucleon state. The Wilson coefficients of such operators are calculated. The sum rules obtained in this manner relate the spin-dependent nucleon-nucleon interaction strengths with the spin-dependent nucleon matrix elements of the quark-gluon composite operators. The sum rules imply that the interaction is stronger in the spin-triplet channel than in the spin-singlet channel, but that the spin-dependence of the nucleon-nucleon interactions is rather small. In the spin-singlet channel the calculated strength is in qualitative agreement with the empirical strength, which is estimated by the empirical low energy scattering observables.
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"abstract": "The QCD sum rules for spin-dependent nucleon-nucleon interactions are\nformulated and their physical implications are studied. The basic object of the\nstudy is the correlation function of the nucleon interpolating field, where the\nmatrix element is taken with respect to the one-nucleon state. The dispersion\nintegral of the correlation function around the nucleon threshold is\ninvestigated in detail. It turns out that the integral can be identified as a\nmeasure of the nucleon-nucleon interaction strength, which is proportional to\nthe scattering length in the small scattering length limit and to one half of\nthe effective range in the large scattering length limit. New operators must be\ntaken into account in the OPE of the correlation function. There behavior\noperators do not vanish when the matrix element is taken with respect to the\nspin-nonaveraged one-nucleon state. The Wilson coefficients of such operators\nare calculated. The sum rules obtained in this manner relate the spin-dependent\nnucleon-nucleon interaction strengths with the spin-dependent nucleon matrix\nelements of the quark-gluon composite operators. The sum rules imply that the\ninteraction is stronger in the spin-triplet channel than in the spin-singlet\nchannel, but that the spin-dependence of the nucleon-nucleon interactions is\nrather small. In the spin-singlet channel the calculated strength is in\nqualitative agreement with the empirical strength, which is estimated by the\nempirical low energy scattering observables.",
"arxiv_id": "nucl-th/9807024",
"authors": [
"Y. Kondo",
"O. Morimatsu"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1143/PTP.100.1",
"journal_ref": "Prog.Theor.Phys. 100 (1998) 1-20",
"title": "QCD Sum Rules for Nucleon-Nucleon Interactions",
"url": "https://arxiv.org/abs/nucl-th/9807024"
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