Asymptotic conditions for the electromagnetic form factors of hadrons represented by the VMD model
2003; Springer Science+Business Media; Volume: 28; Issue: 1 Linguagem: Inglês
10.1140/epjc/s2003-01143-3
ISSN1434-6052
AutoresC. Adamuščín, A. Z. Dubničková, S. Dubnička, R. Pekárik, Peter Weisenpacher,
Tópico(s)Quantum chaos and dynamical systems
ResumoA system of linear homogeneous algebraic equations for the coupling constant ratios of vector mesons to hadrons is derived by imposing the assumed asymptotic behavior upon the VMD pole parameterization of an hadron electromagnetic form factor. A similar system of equations with a simpler structure of the coefficients, taken as even powers of the vector-meson masses, is derived by means of integral superconvergent sum rules for the imaginary part of the considered form factor using its appropriate $\delta$ -function approximation. Although both systems have been derived starting from different properties of the electromagnetic form factor and they each have their own appearances, it is shown explicitly that they are fully equivalent.
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