Off-Shell Rho-Omega Mixing Through Quark Loops With Non-Perturbative Meson Vertex And Quark Mass Functions

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dc.creatorMitra, A. N.
dc.creatorYang, K. -C.
dc.date1994-06-10
dc.date.accessioned2026-07-07T11:15:12Z
dc.date.available2026-07-07T11:15:12Z
dc.descriptionThe momemtum dependence of the off-shell $ρ$-$ω$ mixing amplitude is calculated through a two-quark loop diagram, using non-perturbative meson-quark vertex functions for the $ρ$ and $ω$ 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$δ(m_q^2)$ in units of the change in "constituent mass squared", which is consistent with the $e^+e^-$ to $π^+π^-$ 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 $ρ$-$ω$ 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.
dc.description12 Pages, latex file, NTUTH-94-07
dc.identifierhttps://arxiv.org/abs/nucl-th/9406011
dc.identifierhttp://arxiv.org/abs/nucl-th/9406011
dc.identifierPhys.Rev.C51:3404-3410,1995
dc.identifierdoi:10.1103/PhysRevC.51.3404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192318
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOff-Shell Rho-Omega Mixing Through Quark Loops With Non-Perturbative Meson Vertex And Quark Mass Functions
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