dorsal/arxiv
View SchemaThe Okamoto-Nolen-Schiffer anomaly without rho-omega mixing
| Authors | Fabio Cardarelli, Jorge Piekarewicz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9602010 |
| URL | https://arxiv.org/abs/nucl-th/9602010 |
| DOI | 10.1016/S0375-9474(96)00412-5 |
Abstract
We examine the effect of isospin-violating meson-nucleon coupling constants and of $\pi$-$\eta$ mixing on the binding-energy differences of mirror nuclei in a model that possesses no contribution from $\rho$-$\omega$ mixing. The ${}^{3}$He-${}^{3}$H binding-energy difference is computed in a nonrelativistic approach using a realistic wave function. We find the ${}^{3}$He-${}^{3}$H binding-energy difference very sensitive to the short-distance behavior of the nucleon-nucleon potential. We conclude that for the typically hard Bonn form factors such models can not account for the observed binding-energy difference in the three-nucleon system. For the medium-mass region (A=15--41) the binding-energy differences of mirror nuclei are computed using a relativistic mean-field approximation to the Walecka model. We obtain large binding-energy differences---of the order of several hundred keV---arising from the pseudoscalar sector. Two effects are primarily responsible for this new finding: a) the inclusion of isospin breaking in the pion-nucleon coupling constant, and b) the in-medium enhancement of the small components of the bound-state wave functions. We look for off-shell ambiguities in these results and find them to be large.
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"abstract": "We examine the effect of isospin-violating meson-nucleon coupling constants\nand of $\\pi$-$\\eta$ mixing on the binding-energy differences of mirror nuclei\nin a model that possesses no contribution from $\\rho$-$\\omega$ mixing. The\n${}^{3}$He-${}^{3}$H binding-energy difference is computed in a nonrelativistic\napproach using a realistic wave function. We find the ${}^{3}$He-${}^{3}$H\nbinding-energy difference very sensitive to the short-distance behavior of the\nnucleon-nucleon potential. We conclude that for the typically hard Bonn form\nfactors such models can not account for the observed binding-energy difference\nin the three-nucleon system. For the medium-mass region (A=15--41) the\nbinding-energy differences of mirror nuclei are computed using a relativistic\nmean-field approximation to the Walecka model. We obtain large binding-energy\ndifferences---of the order of several hundred keV---arising from the\npseudoscalar sector. Two effects are primarily responsible for this new\nfinding: a) the inclusion of isospin breaking in the pion-nucleon coupling\nconstant, and b) the in-medium enhancement of the small components of the\nbound-state wave functions. We look for off-shell ambiguities in these results\nand find them to be large.",
"arxiv_id": "nucl-th/9602010",
"authors": [
"Fabio Cardarelli",
"Jorge Piekarewicz"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(96)00412-5",
"title": "The Okamoto-Nolen-Schiffer anomaly without rho-omega mixing",
"url": "https://arxiv.org/abs/nucl-th/9602010"
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