Kinetic theory of the current sheath. II. Effect of polarization on the stability of a current sheath

► The Vlasov equation for perturbation of the distribution function has been solved. ► The tensor of dielectric permeability of the current sheath plasma has been calculated. ► The dispersion equation for possible instability modes has been obtained. ► The instability of the current sheath of the magnetospheric tail has been investigated. ► The influence of the effect of plasma polarization has been investigated.