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.
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 $e^+e^-\to P(S) \gamma$ processes
to muon $g-2$ is estimated.
Fizika B13 (2004) 295-304 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 $\omega$ and $\phi$ 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
$\omega$-$\phi$ 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
($\pi^0$, $\eta$, $\eta'$) 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.
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.
The present situation on a comparison of theoretical evaluation of the muon anomalous magnetic moment withexperimental 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
− →
P(S)γ processes to muon
g − 2 is estimated.
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 \(e^+e^-\to P(S) \gamma\) processes to muon \(g-2\) is estimated.
Present-day experimental and phenomenological situation about pseudoscalar (\(\pi^0\), \(\eta\), \(\eta'\)) 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.
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 \(\omega\) and \(\phi\) 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 \(\omega\)-\(\phi\) mixing and a special assumption on the coupling of the quark components of vector-meson wave functions to flavour component of currents under consideration.
Poput elektromagnetskih prijelaznih faktora oblika pseudoskalarnih mezona, mogu se definirati i prijelazni faktori oblika pseudoskalarnih mezona od vektorske struje stranih kvarkova, koji doprinose ...samo svojstvima izoskalarnih dijelova prvih. Njihova se eksplicitna formulacija nalazi razvijanjem unitarnih i analitičkih modela za strane prijelazne faktore oblika pseudoskalarnih mezona koji ovise samo o omjerima konstanti vezanja ω and φ mezona kao slobodnim parametrima. Iznosi tih omjera se određuju iz odnosnih prijelaznih faktora oblika pseudoskalarnih mezona upotrebom posebnog miješanja ω-φ i posebnom pretpostavkom o vezanju kvarkovskih komponenata valnih funkcija vektorskih mezona na okusnu komponentu studiranih struja.
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