English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The pion charge and scalar form factors, $F_1(Q^2)$ and $F_0(Q^2)$, are firstcalculated in different forms of relativistic quantum mechanics. This is doneusing the solution of a mass operator that contains both confinement andone-gluon-exchange interactions. Results of calculations, based on a one-bodycurrent, are compared to experiment for the first one. As it could be expected,those point-form, and instant and front-form ones in a parallel momentumconfiguration fail to reproduce experiment. The other results corresponding toa perpendicular momentum configuration (instant form in the Breit frame andfront form with $q^+=0$) do much better. The comparison of charge and scalarform factors shows that the spin-1/2 nature of the constituents plays animportant role. Taking into account that only the last set of resultsrepresents a reasonable basis for improving the description of the charge formfactor, this one is then discussed with regard to the asymptotic QCD-power-lawbehavior $Q^{-2}$. The contribution of two-body currents in achieving the rightpower law is considered while the scalar form factor, $F_0(Q^2)$, is shown tohave the right power-law behavior in any case. The low-$Q^2$ behavior of thecharge form factor and the pion-decay constant are also discussed.}

RQM description of the charge form factor of the pion and its asymptotic behavior