Off-shell {rho}-{omega} mixing through quark loops with a nonperturbative meson vertex and quark mass functions

Journal Article · Thu Jun 01 04:00:00 EDT 1995 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.51.3404· OSTI ID:55182

Mitra, A N; Yang, K ^[1]

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1. Department of Physics, National Taiwan University, Taipei, Taiwan 10764 (Taiwan, Province of China)

The momentum dependence of the off-shell {rho}-{omega} mixing amplitude is calculated through a two-quark loop diagram, using nonperturbative meson-quark vertex functions for the {rho} and {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 {minus}2.434 {delta}({ital m}{sub {ital q}}{sup 2}) in units of the change in ``constituent mass squared,`` which is consistent with the {ital e}{sup +}{ital e}{sup {minus}} to {pi}{sup +}{pi}{sup {minus}} data for a {ital u}-{ital d} mass difference of 4 MeV, while the relative off-shell strength (0.99{plus_minus}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 {ital q}{sup 2}=0. The implications of these results vis-a-vis related investigations are discussed.

• OSTI ID: 55182
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 51; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BARYONS
CROSS SECTIONS
FEYNMAN DIAGRAM
MASS
MIXING
OMEGA-783 MESONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARKS
RHO-770 MESONS
SPECTRA
VERTEX FUNCTIONS