dorsal/arxiv
View SchemaCharge-Asymmetry of the Nucleon-Nucleon Interaction
| Authors | G. Q. Li, R. Machleidt |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9804023 |
| URL | https://arxiv.org/abs/nucl-th/9804023 |
| DOI | 10.1103/PhysRevC.58.1393 |
| Journal | Phys.Rev.C58:1393-1402,1998 |
Abstract
Based upon the Bonn meson-exchange model for the nucleon-nucleon ($NN$) interaction, we study systematically the charge-symmetry-breaking (CSB) of the $NN$ interaction due to nucleon mass splitting. Particular attention is payed to CSB generated by the $2\pi$-exchange contribution to the $NN$ interaction, $\pi\rho$ diagrams, and other multi-meson-exchanges. We calculate the CSB differences in the $^1S_0$ effective range parameters as well as phase shift differences in $S$, $P$ and higher partial waves up to 300 MeV lab. energy. We find a total CSB difference in the singlet scattering length of 1.6 fm which explains the empirical value accurately. The corresponding CSB phase-shift differences are appreciable at low energy in the $^1S_0$ state. In the other partial waves, the CSB splitting of the phase shifts is small and increases with energy, with typical values in the order of 0.1 deg at 300 MeV in $P$ and $D$ waves.
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"abstract": "Based upon the Bonn meson-exchange model for the nucleon-nucleon ($NN$)\ninteraction, we study systematically the charge-symmetry-breaking (CSB) of the\n$NN$ interaction due to nucleon mass splitting. Particular attention is payed\nto CSB generated by the $2\\pi$-exchange contribution to the $NN$ interaction,\n$\\pi\\rho$ diagrams, and other multi-meson-exchanges. We calculate the CSB\ndifferences in the $^1S_0$ effective range parameters as well as phase shift\ndifferences in $S$, $P$ and higher partial waves up to 300 MeV lab. energy. We\nfind a total CSB difference in the singlet scattering length of 1.6 fm which\nexplains the empirical value accurately. The corresponding CSB phase-shift\ndifferences are appreciable at low energy in the $^1S_0$ state. In the other\npartial waves, the CSB splitting of the phase shifts is small and increases\nwith energy, with typical values in the order of 0.1 deg at 300 MeV in $P$ and\n$D$ waves.",
"arxiv_id": "nucl-th/9804023",
"authors": [
"G. Q. Li",
"R. Machleidt"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.1393",
"journal_ref": "Phys.Rev.C58:1393-1402,1998",
"title": "Charge-Asymmetry of the Nucleon-Nucleon Interaction",
"url": "https://arxiv.org/abs/nucl-th/9804023"
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