  We investigate the transverse quark spin densities of the nucleon with the
lowest moment within the framework of the SU(3) chiral quark-soliton model,
emphasizing the strange quark spin density. Based on previous results of the
vector and tensor form factors, we are able to determine the impact-parameter
dependent probability densities of transversely polarized quarks in an
unpolarized nucleon as well as those of unpolarized quarks in a transversely
polarized nucleon. We find that the present numerical results for the
transverse spin densities of the up and down quarks are in good agreement with
those of the lattice calculation. We predict the transvere spin densities of
the strange quark. It turns out that the polarized strange quark is noticeably
distorted in an unpolarized proton.
