The quark-photon vertex and meson electromagnetic form factors

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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4 pages, 2 figures, uses espcrc1.sty, talk presented at PANIC99, Uppsala, Sweden

Scientific paper

10.1016/S0375-9474(99)00627-2

The ladder Bethe-Salpeter solution for the dressed photon-quark vertex is used to study the low-momentum behavior of the pion electromagnetic and the $\gamma^\star \pi^0 \gamma$ transition form factors. With model parameters previously fixed by light meson masses and decay constants, the low-momentum slope of both form factors is in excellent agreement with the data. In comparison, the often-used Ball-Chiu Ansatz for the vertex is found to be deficient; less than half of the obtained $r_\pi^2$ is generated by that Ansatz while the remainder of the charge radius could be attributed to the tail of the $\rho$ resonance.

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