Strange vector form factors of the nucleon in the SU(3) chiral quark-soliton model with the proper kaonic cloud

The strange vector form factors are evaluated in the range between $Q^2=0$ and $Q^2=1\ \mbox{GeV}^2$ in the framework of the SU(3) chiral quark-soliton model (or semi-bosonized SU(3) Nambu-Jona-Lasinio model). The rotational $1/N_c$ and $m_s$ corrections are taken into account up to linear order. Taking care of a proper Yukawa-tail of the kaonic cloud, we get $\langle r^{2}\rangle^{\rm Sachs}_{s}=-0.095\; \mbox{fm}^2$ and $\mu_s = -0.68\;\mu_N$. The results are compared with several different models.