Meson-loop contributions to the rho-omega mass splitting & rho charge radius

Abstract

Contributions of two-pseudoscalar and vector-pseudoscalar meson loops to the rho-omega mass splitting are evaluated in a covariant model based on studies of the Schwinger-Dyson equations of QCD. The role and importance of the different time orderings of the meson loops is analyzed and compared with those obtained within time-ordered perturbation theory. It is shown that each meson loop contributes less than 10% of the bare mass, and decreases as the masses of the intermediate mesons increase beyond approximately m_rho/2. A mass splitting of m_omega - m_rho ~= 25 MeV is obtained from the pi pi, K K(bar), omega pi, rho pi, omega eta, rho eta and K* K channels. The model is then used to determine the effect of the two-pion loop on the rho-meson electromagnetic form factor. It is shown that the inclusion of pion loops increases the rho-meson charge radius by 10%.

20 pages, 10 figures, RevTeX; submitted to Physical Review D

References in corpus (4)

• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Electromagnetic form factors of light vector mesons
• Novel approach to pion and eta production in proton-proton collisions near threshold
• Heavy- to light-meson transition form factors

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