dorsal/arxiv
View SchemaChiral $3\pi$-exchange NN-potentials: results for representation invariant classes of diagrams
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9910044 |
| URL | https://arxiv.org/abs/nucl-th/9910044 |
| DOI | 10.1103/PhysRevC.61.014003 |
| Journal | Phys.Rev. C61 (2000) 014003 |
Abstract
We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by certain classes of three-pion exchange diagrams. We stress that the chiral $3\pi NN$-contact vertex depends on the particular choice of the interpolating pion-field and therefore one has to consider representation invariant classes of diagrams by supplementing graphs involving the chiral $4\pi$-vertex. We find that the resulting isovector spin-spin and tensor NN-potentials are negligibly small for $r\geq 0.8$ fm. One can conclude that the effects of uncorrelated chiral $3\pi$-exchange in the NN-interaction are very small and therefore of no practical relevance.
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"abstract": "We calculate in (two-loop) chiral perturbation theory the local NN-potentials\ngenerated by certain classes of three-pion exchange diagrams. We stress that\nthe chiral $3\\pi NN$-contact vertex depends on the particular choice of the\ninterpolating pion-field and therefore one has to consider representation\ninvariant classes of diagrams by supplementing graphs involving the chiral\n$4\\pi$-vertex. We find that the resulting isovector spin-spin and tensor\nNN-potentials are negligibly small for $r\\geq 0.8$ fm. One can conclude that\nthe effects of uncorrelated chiral $3\\pi$-exchange in the NN-interaction are\nvery small and therefore of no practical relevance.",
"arxiv_id": "nucl-th/9910044",
"authors": [
"N. Kaiser"
],
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"doi": "10.1103/PhysRevC.61.014003",
"journal_ref": "Phys.Rev. C61 (2000) 014003",
"title": "Chiral $3\\pi$-exchange NN-potentials: results for representation invariant classes of diagrams",
"url": "https://arxiv.org/abs/nucl-th/9910044"
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