The momentum-space optical model of K+-nucleus scattering is analyzed
and comparison with other conventional models is shown. The model is b
ased on the multiple scattering formalism in which the optimal factori
zation approximation is used. Off-energy-shell extension of the elemen
tary K+-nucleon amplitude is neglected which reduces non localities in
the optical potential. Predictions of the model are sensitive to the
definition of the K+-nucleon energy (energy shifts) but they are indep
endent (1-2%) of a particular form of the covariant K+-nucleus scatter
ing equation (relativistic Lippmann-Schwinger, Gross, Erkelenz-Holinde
). The Coulomb distortion in the total cross section is important for
Si-28 and Ca-40 at low momenta (approximate to 10%). Off-energy-shell
effects in the optical potential are discussed too. Results for the to
tal and reaction cross sections are systematically below the data. The
reaction cross sections are in a larger disagreement with the data th
an the total cross sections.