We present results of ab initio relativistic calculations on the elastic positron scattering from Kr and Ye atoms in the energy region below 10 eV. The approach employed was the relativistic polarized orbital approximation in which we tried to keep correctly orders of various contributions to positron-atom interaction potentials. In view of the serious disagreement between the present results and experimental data we conclude that the polarized orbital approximation even in its relativistic version is not able to provide reliable values of positron scattering cross-sections.
The potentials vanishing asymptotically as Lenz potentials are considered and an exact method of calculating of the scattering lengths for them is presented. This method is especially useful for Buckingham polarization potential. Formulae obtained in this report are the generalization of those derived in the previous paper for the inverse power potentials.
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