dorsal/arxiv
View SchemaDominant $2\pi\gamma$-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0610089 |
| URL | https://arxiv.org/abs/nucl-th/0610089 |
| DOI | 10.1103/PhysRevC.74.067001 |
| Journal | Phys.Rev. C74 (2006) 067001 |
Abstract
We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the two-pion exchange nucleon-nucleon interaction that is generated by the isovector spin-flip $\pi\pi NN$ contact-vertex proportional to the large low-energy constant $c_4\simeq 3.4 $GeV$^{-1}$. We find that the respective $2\pi\gamma$-exchange potentials contain sizeable isospin-breaking components which reach up to -4% of corresponding isovector $2\pi$-exchange potentials. The typical values of these novel charge-independence breaking spin-spin and tensor potentials are $-0.11 $MeV and $0.09 $MeV, at a nucleon distance of $r=m_\pi^{-1}=1.4 $fm. The charge-symmetry breaking spin-spin and tensor potentials come out a factor of 2.4 smaller. Our analytical results for these presumably dominant isospin-violating spin-spin and tensor NN-forces are in a form such that they 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 two-pion exchange nucleon-nucleon\ninteraction that is generated by the isovector spin-flip $\\pi\\pi NN$\ncontact-vertex proportional to the large low-energy constant $c_4\\simeq 3.4\n$GeV$^{-1}$. We find that the respective $2\\pi\\gamma$-exchange potentials\ncontain sizeable isospin-breaking components which reach up to -4% of\ncorresponding isovector $2\\pi$-exchange potentials. The typical values of these\nnovel charge-independence breaking spin-spin and tensor potentials are $-0.11\n$MeV and $0.09 $MeV, at a nucleon distance of $r=m_\\pi^{-1}=1.4 $fm. The\ncharge-symmetry breaking spin-spin and tensor potentials come out a factor of\n2.4 smaller. Our analytical results for these presumably dominant\nisospin-violating spin-spin and tensor NN-forces are in a form such that they\ncan be easily implemented into phase-shift analyses and few-body calculations.",
"arxiv_id": "nucl-th/0610089",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.067001",
"journal_ref": "Phys.Rev. C74 (2006) 067001",
"title": "Dominant $2\\pi\\gamma$-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials",
"url": "https://arxiv.org/abs/nucl-th/0610089"
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