dorsal/arxiv
View SchemaOff-Shell Rho-Omega Mixing Through Quark Loops With Non-Perturbative Meson Vertex And Quark Mass Functions
| Authors | A. N. Mitra, K. -C. Yang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9406011 |
| URL | https://arxiv.org/abs/nucl-th/9406011 |
| DOI | 10.1103/PhysRevC.51.3404 |
| Journal | Phys.Rev.C51:3404-3410,1995 |
Abstract
The momemtum dependence of the off-shell $\rho$-$\omega$ mixing amplitude is calculated through a two-quark loop diagram, using non-perturbative meson-quark vertex functions for the $\rho$ and $\omega$ mesons, as well as non-perturbative quark propagators. Both these quantities are generated self-consistently through an interlinked BSE-cum-SDE approach with a 3D support for the BSE kernel with two basic constants which are pre- checked against a wide cross section of both meson and baryon spectra within a common structural framework for their respective 3D BSE's. With this pre-calibration, the on-shell strength works out at -2.434$\delta(m_q^2)$ in units of the change in "constituent mass squared", which is consistent with the $e^+e^-$ to $\pi^+\pi^-$ data for a u-d mass difference of ~4 MeV ,while the relative off-shell strength (0.99 $\pm$ 0.01) lies midway between quark-loop and QCD-SR results. We also calculate the photon-mediated $\rho$-$\omega$ propagator whose off-shell structure has an additional pole at $q^2$=0. The implications of these results vis-a-vis related investigations are discussed.
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"abstract": "The momemtum dependence of the off-shell $\\rho$-$\\omega$ mixing amplitude is\ncalculated through a two-quark loop diagram, using non-perturbative meson-quark\nvertex functions for the $\\rho$ and $\\omega$ mesons, as well as\nnon-perturbative quark propagators. Both these quantities are generated\nself-consistently through an interlinked BSE-cum-SDE approach with a 3D support\nfor the BSE kernel with two basic constants which are pre- checked against a\nwide cross section of both meson and baryon spectra within a common structural\nframework for their respective 3D BSE\u0027s. With this pre-calibration, the\non-shell strength works out at -2.434$\\delta(m_q^2)$ in units of the change in\n\"constituent mass squared\", which is consistent with the $e^+e^-$ to\n$\\pi^+\\pi^-$ data for a u-d mass difference of ~4 MeV ,while the relative\noff-shell strength (0.99 $\\pm$ 0.01) lies midway between quark-loop and QCD-SR\nresults. We also calculate the photon-mediated $\\rho$-$\\omega$ propagator whose\noff-shell structure has an additional pole at $q^2$=0. The implications of\nthese results vis-a-vis related investigations are discussed.",
"arxiv_id": "nucl-th/9406011",
"authors": [
"A. N. Mitra",
"K. -C. Yang"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.51.3404",
"journal_ref": "Phys.Rev.C51:3404-3410,1995",
"title": "Off-Shell Rho-Omega Mixing Through Quark Loops With Non-Perturbative Meson Vertex And Quark Mass Functions",
"url": "https://arxiv.org/abs/nucl-th/9406011"
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