Asymptotic conditions for the electromagnetic form factors of hadrons represented by the VMD model

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 o...

Full description

Saved in:
Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 28; no. 1; pp. 115 - 118
Main Authors Adamuscin, C., Dubnicková, A.-Z., Dubnicka, S., Pekárik, R., Weisenpacher, P.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.05.2003
Subjects
Asymptotic properties
Form factors
Hadrons
Parameterization
Product design
Sum rules
Vector mesons
Online AccessGet full text

Cover

More Information
Summary: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 itsappropriate \(\delta\)-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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s2003-01143-3