Simple relativistic quark-model analysis of flavored pseudoscalar mesons

Using a simple relativistic quark model suggested by Dziembowski et al., we study the open flavored pseudoscalar meson, i.e., $Q\overline{q}$, where $Q$ is $s$ or $c$ and $q$ is $u$ or $d$. Our analysis, which is a straightforward extension of their previous treatment for the pion, focuses on the kaon to provide further tests of this approach. Our results support the utility of this model as the predictions for the kaon charge radius ${〈r_K^2〉}^{\frac{1}{2}}$, the kaon form factor $F_K$, and the decay constant $f_K$ compare favorably with experimental data.