dorsal/arxiv
View SchemaChiral $\pi$-exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9912054 |
| URL | https://arxiv.org/abs/nucl-th/9912054 |
| DOI | 10.1103/PhysRevC.62.024001 |
| Journal | Phys.Rev. C62 (2000) 024001 |
Abstract
We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by the three-pion exchange diagrams proportional to g_A^4 and g_A^6. Surprisingly, we find that the total isoscalar central $3\pi$-exchange potential vanishes identically. The individually largest $3\pi$-exchange potentials are of isoscalar spin-spin, isovector central and isoscalar tensor type. For these potentials simple analytical expressions can be given. The strength of these dominant $3\pi$-exchange potentials at r=1.0 fm is 4.6 MeV, 2.9 MeV and 1.4 MeV, respectively. Furthermore, we observe that the spin-spin and tensor potentials due to the diagrams proportional to g_A^6 do not exist in the infinite nucleon mass limit.
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"abstract": "We calculate in (two-loop) chiral perturbation theory the local NN-potentials\ngenerated by the three-pion exchange diagrams proportional to g_A^4 and g_A^6.\nSurprisingly, we find that the total isoscalar central $3\\pi$-exchange\npotential vanishes identically. The individually largest $3\\pi$-exchange\npotentials are of isoscalar spin-spin, isovector central and isoscalar tensor\ntype. For these potentials simple analytical expressions can be given. The\nstrength of these dominant $3\\pi$-exchange potentials at r=1.0 fm is 4.6 MeV,\n2.9 MeV and 1.4 MeV, respectively. Furthermore, we observe that the spin-spin\nand tensor potentials due to the diagrams proportional to g_A^6 do not exist in\nthe infinite nucleon mass limit.",
"arxiv_id": "nucl-th/9912054",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.62.024001",
"journal_ref": "Phys.Rev. C62 (2000) 024001",
"title": "Chiral $\\pi$-exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6",
"url": "https://arxiv.org/abs/nucl-th/9912054"
},
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