dorsal/arxiv
View SchemaThe Momentum Dependence of the $\rho-\omega$ Mixing Amplitude in a Hadronic Model
| Authors | J. Piekarewicz, A. G. Williams |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9301002 |
| URL | https://arxiv.org/abs/nucl-th/9301002 |
| DOI | 10.1103/PhysRevC.47.R2462 |
| Journal | Phys.Rev.C47:2462-2466,1993 |
Abstract
We calculate the momentum dependence of the $\rho-\omega$ mixing amplitude in a purely hadronic model. The basic assumption of the model is that the mixing amplitude is generated by $N{\bar{N}}$ loops and thus driven entirely by the neutron-proton mass difference. The value of the amplitude at the $\omega$-meson point is expressed in terms of only the $NN\omega$ and the $NN\rho$ coupling constants. Using values for these couplings constrained by empirical two-nucleon data we obtain a value for the mixing amplitude in agreement with experiment. Extending these results to the spacelike region, we find a $\rho-\omega$ contribution to the NN interaction that is strongly suppressed and opposite in sign relative to the conventional contribution obtained from using the constant on-shell value for the mixing amplitude.
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"abstract": "We calculate the momentum dependence of the $\\rho-\\omega$ mixing amplitude in\na purely hadronic model. The basic assumption of the model is that the mixing\namplitude is generated by $N{\\bar{N}}$ loops and thus driven entirely by the\nneutron-proton mass difference. The value of the amplitude at the\n$\\omega$-meson point is expressed in terms of only the $NN\\omega$ and the\n$NN\\rho$ coupling constants. Using values for these couplings constrained by\nempirical two-nucleon data we obtain a value for the mixing amplitude in\nagreement with experiment. Extending these results to the spacelike region, we\nfind a $\\rho-\\omega$ contribution to the NN interaction that is strongly\nsuppressed and opposite in sign relative to the conventional contribution\nobtained from using the constant on-shell value for the mixing amplitude.",
"arxiv_id": "nucl-th/9301002",
"authors": [
"J. Piekarewicz",
"A. G. Williams"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.47.R2462",
"journal_ref": "Phys.Rev.C47:2462-2466,1993",
"title": "The Momentum Dependence of the $\\rho-\\omega$ Mixing Amplitude in a Hadronic Model",
"url": "https://arxiv.org/abs/nucl-th/9301002"
},
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