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Off-Shell Rho-Omega Mixing Through Quark Loops With Non-Perturbative Meson Vertex And Quark Mass Functions | | A. N. Mitra
; K.-C. Yang
; | | Date: |
10 Jun 1994 | | Journal: | Phys.Rev. C51 (1995) 3404-3410 | | Subject: | nucl-th hep-ph | | Affiliation: | 1,2) and K.-C. Yang (Dept. of Physics, National Taiwan University, Taipei,Taiwan; Dept. of Physics, University of Delhi, Delhi, India | | Abstract: | The momemtum dependence of the off-shell $
ho$-$omega$ mixing amplitude is calculated through a two-quark loop diagram, using non-perturbative meson-quark vertex functions for the $
ho$ 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 $
ho$-$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. | | Source: | arXiv, nucl-th/9406011 | | Services: | Forum | Review | PDF | Favorites | |
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