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The general formulas to calculate the phase shifts of wave function of aparticle scattering on a target formed by a pair of non-identical zero-rangepotentials are derived. It is shown that at asymptotically great distances fromthe target the continuum wave function of particle is presented as an expansionin a set of other than spherical, orthonormal functions. General formulas forthese functions are obtained. The special features of the S-matrix method forthe case of arbitrary non-spherical potentials are discussed.

Slow electron elastic scattering by a target represented by different zero-range potentials