Onset of scaling violation in pion and kaon elastic electromagnetic form factors

Abstract

Using a symmetry-preserving truncation of the quantum field equations describing hadron properties, parameter-free predictions are delivered for pion and kaon elastic electromagnetic form factors, $F_{P=\ddot{I}€,K}$, thereby unifying them with kindred results for nucleon elastic electromagnetic form factors. Regarding positive-charge states, the analysis stresses that the presence of scaling violations in QCD entails that $Q^2{F}_P(Q^2)$ should exhibit a single maximum on $Q^2>0$. Locating such a maximum is both necessary and sufficient to establish the existence of scaling violations. The study predicts that, for charged $\ddot{I}€$, $K$ mesons, the $Q^2{F}_P(Q^2)$ maximum lies in the neighbourhood $Q^2\simeq 5$GeV${}^2$. Foreseeable experiments will test these predictions and, providing their $Q^2$ reach meets expectations, potentially also provide details on the momentum dependence of meson form factor scaling violation.

8 pages, 5 figures, 1 table