dorsal/arxiv
View SchemaSigma exchange in the nuclear force and effective field theory
| Authors | John F. Donoghue |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0602074 |
| URL | https://arxiv.org/abs/nucl-th/0602074 |
| DOI | 10.1016/j.physletb.2006.10.033 |
| Journal | Phys.Lett. B643 (2006) 165-170 |
Abstract
In the phenomenological description of the nuclear interaction a crucial role is traditionally played by the exchange of a scalar I=0 meson, the sigma, of mass 500-600 MeV, which however is not seen clearly in the particle spectrum and which has a very ambiguous status in QCD. I show that a remarkably simple and reasonably controlled combination of ingredients can reproduce the features of this part of the nuclear force. The use of chiral perturbation theory calculations for two pion exchange supplemented by the Omnes function for pion rescattering suffices to reproduce the magnitude and shape of the exchange of a supposed $\sigma$ particle, even though no such particle is present in this calculation. I also show how these ingredients can describe the contact interaction that enters more modern descriptions of the internucleon interaction.
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"abstract": "In the phenomenological description of the nuclear interaction a crucial role\nis traditionally played by the exchange of a scalar I=0 meson, the sigma, of\nmass 500-600 MeV, which however is not seen clearly in the particle spectrum\nand which has a very ambiguous status in QCD. I show that a remarkably simple\nand reasonably controlled combination of ingredients can reproduce the features\nof this part of the nuclear force. The use of chiral perturbation theory\ncalculations for two pion exchange supplemented by the Omnes function for pion\nrescattering suffices to reproduce the magnitude and shape of the exchange of a\nsupposed $\\sigma$ particle, even though no such particle is present in this\ncalculation. I also show how these ingredients can describe the contact\ninteraction that enters more modern descriptions of the internucleon\ninteraction.",
"arxiv_id": "nucl-th/0602074",
"authors": [
"John F. Donoghue"
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"doi": "10.1016/j.physletb.2006.10.033",
"journal_ref": "Phys.Lett. B643 (2006) 165-170",
"title": "Sigma exchange in the nuclear force and effective field theory",
"url": "https://arxiv.org/abs/nucl-th/0602074"
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