dorsal/arxiv
View SchemaElectromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605040 |
| URL | https://arxiv.org/abs/nucl-th/0605040 |
| DOI | 10.1103/PhysRevC.73.064003 |
| Journal | Phys.Rev.C73:064003,2006 |
Abstract
We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon interaction that is generated by the isoscalar $\pi N$ contact-vertex proportional to the large low-energy constant $c_3$. We find that the respective $2\pi\gamma$-exchange potential contains sizeable isospin-breaking components which amount to about -1% of the strongly attractive isoscalar central $2\pi$-exchange potential. The typical value of these novel charge-independence and charge-symmetry breaking central potentials is $0.3 $MeV at a nucleon distance of $r= m_\pi^{-1} = 1.4 $fm. Our analytical result for this presumably dominant $2\pi\gamma$-exchange interaction is in a form such that it can be easily implemented into phase-shift analyses and few-body calculations.
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"abstract": "We calculate at two-loop order in chiral perturbation theory the\nelectromagnetic corrections to the dominant two-pion exchange nucleon-nucleon\ninteraction that is generated by the isoscalar $\\pi N$ contact-vertex\nproportional to the large low-energy constant $c_3$. We find that the\nrespective $2\\pi\\gamma$-exchange potential contains sizeable isospin-breaking\ncomponents which amount to about -1% of the strongly attractive isoscalar\ncentral $2\\pi$-exchange potential. The typical value of these novel\ncharge-independence and charge-symmetry breaking central potentials is $0.3\n$MeV at a nucleon distance of $r= m_\\pi^{-1} = 1.4 $fm. Our analytical result\nfor this presumably dominant $2\\pi\\gamma$-exchange interaction is in a form\nsuch that it can be easily implemented into phase-shift analyses and few-body\ncalculations.",
"arxiv_id": "nucl-th/0605040",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.064003",
"journal_ref": "Phys.Rev.C73:064003,2006",
"title": "Electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential",
"url": "https://arxiv.org/abs/nucl-th/0605040"
},
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