dorsal/arxiv
View Schema$q^2$-Dependence of Meson Mixing in Few-Body Charge Symmetry Breaking: $\pi^o-\eta$ Mixing to One Loop in Chiral Perturbation Theory
| Authors | Kim Maltman |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9211006 |
| URL | https://arxiv.org/abs/nucl-th/9211006 |
| DOI | 10.1016/0370-2693(93)91213-7 |
Abstract
It is pointed out that the meson mixing matrix elements usually considered responsible for the bulk of the observed few-body charge symmetry breaking are naturally $q^2$-dependent in QCD. For $\pi^o-\eta$ mixing, using the usual representation of the pseudoscalar fields, the leading $q^2$ dependence can be explicitly calculated using chiral perturbation theory to one loop, the result being a significant decrease in the magnitude of the matrix element in going from timelike to spacelike values of $q^2$. Since it is the latter range of $q^2$ which is relevant to NN scattering and the few-body bound state, this result calls into serious question the standard treatment of few-body charge symmetry breaking contributions associated with $\pi^o-\eta$ and $\rho -\omega$ mixing.
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"abstract": "It is pointed out that the meson mixing matrix elements usually considered\nresponsible for the bulk of the observed few-body charge symmetry breaking are\nnaturally $q^2$-dependent in QCD. For $\\pi^o-\\eta$ mixing, using the usual\nrepresentation of the pseudoscalar fields, the leading $q^2$ dependence can be\nexplicitly calculated using chiral perturbation theory to one loop, the result\nbeing a significant decrease in the magnitude of the matrix element in going\nfrom timelike to spacelike values of $q^2$. Since it is the latter range of\n$q^2$ which is relevant to NN scattering and the few-body bound state, this\nresult calls into serious question the standard treatment of few-body charge\nsymmetry breaking contributions associated with $\\pi^o-\\eta$ and $\\rho -\\omega$\nmixing.",
"arxiv_id": "nucl-th/9211006",
"authors": [
"Kim Maltman"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(93)91213-7",
"title": "$q^2$-Dependence of Meson Mixing in Few-Body Charge Symmetry Breaking: $\\pi^o-\\eta$ Mixing to One Loop in Chiral Perturbation Theory",
"url": "https://arxiv.org/abs/nucl-th/9211006"
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