arXiv subjects
Publications and source records attributed to R. Pekarik.
The present situation on a comparison of theoretical evaluation of the muon anomalous magnetic moment with experimental one is roughly reviewed. Then by means of a recently elaborated unitary and analytic model of the meson transition form factors the contributions of $e^+e^-\to P(S) γ$ processes to muon $g-2$ is estimated.
Similarly to the electromagnetic pseudoscalar-meson transition form factors one can define also strange-quark vector current pseudoscalar-meson transition form factors, contributing only to a behaviour of the isoscalar parts of the previous ones. Their explicit form is found by constructing unitary and analytic models of the strange pseudoscalar-meson transition form factors dependent only on $ω$ and $ϕ$ coupling constant ratios as a free parameters. Numerical values of these ratios are then determined from the corresponding pseudoscalar-meson transition form factors by employing the $ω$-$ϕ$ mixing and a special assumption on the coupling of the quark components of vector-meson wave functions to flavour component of currents under consideration.
Present-day experimental and phenomenological situation about pseudoscalar ($π^0$, $η$, $η'$) meson transition form factors is briefly reviewed. Necessity of more sophisticated behaviours in time-like region of these form factors is emphasized. Four-resonance unitary and analytic model of the pseudoscalar meson transition form factors is constructed, which describes well all existing experimental information.
A system of linear homogeneous algebraic equations for coupling constant ratios of vector-mesons to hadrons is derived by imposing an asymptotic behaviuor upon the VMD pole parametrization of an hadron electromagnetic form factor. A similar system of equations with a simpler structure of coefficients, taken as even powers of vector-meson masses, is derived by means of integral superconvergent sum rules for the imaginary part of the considered from factor using its appropriate delta function approximation. Although both systems have been derived starting from different properties of the electromagnetic form factor and they look each in its own way, it is shown explicitly that they are fully equivalent.