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- W1539986514 abstract "The momentum dependence of the off-shell ensuremath{rho}-ensuremath{omega} mixing amplitude is calculated through a two-quark loop diagram, using nonperturbative meson-quark vertex functions for the ensuremath{rho} and ensuremath{omega} mesons, as well as nonperturbative quark propagators. Both these quantities are generated self-consistently through an interlinked Bethe-Salpeter equation (BSE) cum Schwinger- Dyson equation (SDE) approach with a 3D support for the BSE kernel with two basic constants that are prechecked against a wide cross section of both meson and baryon spectra within a common structural framework for their respective 3D BSE's. With the precalibration, the on-shell strength works out at -2.434 ensuremath{delta}(${mathit{m}}_{mathit{q}}^{2}$) in units of the change in ``constituent mass squared,'' which is consistent with the ${mathit{e}}^{+}$${mathit{e}}^{mathrm{ensuremath{-}}}$ to ${mathrm{ensuremath{pi}}}^{+}$${mathrm{ensuremath{pi}}}^{mathrm{ensuremath{-}}}$ data for a u-d mass difference of 4 MeV, while the relative off-shell strength (0.99ifmmodepmelsetextpmfi{}0.01) lies midway between quark-loop and QCD-SR results. We also calculate the photon-mediated ensuremath{rho}-ensuremath{omega} propagator whose off-shell structure has an additional pole at ${mathit{q}}^{2}$=0. The implications of these results vis-a-vis related investigations are discussed." @default.
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- W1539986514 date "1995-06-01" @default.
- W1539986514 modified "2023-09-26" @default.
- W1539986514 title "Off-shell ρ-ω mixing through quark loops with a nonperturbative meson vertex and quark mass functions" @default.
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- W1539986514 doi "https://doi.org/10.1103/physrevc.51.3404" @default.
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