Asymptotic conditions for the electromagnetic form factors of hadrons represented by the VMD modelC. Adamuscin1, A.-Z. Dubnicková1, S. Dubnicka2, R. Pekárik2 and P. Weisenpacher3
1 Department of Theoretical Physics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovak Republic
2 Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 842 28 Bratislava, Slovak Republic
3 Institute of Informatics, Slovak Academy of Sciences, Dúbravská cesta 9, 842 37 Bratislava, Slovak Republic
(Received: 20 March 2002 / Revised version: 3 December 2002 / Published online: 7 March 2003)
A 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 -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.
© Società Italiana di Fisica, Springer-Verlag 2003