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Abstract

It is known that the scattering of a low-energy particle by a potential of a small radius of action is satisfactorily described by the s-wave alone. In the present paper we give a method for obtaining functions by means of which the scattering of particle on two localized potentials separated by an arbitrary distance 2d can be described with the aid of two waves alone. Two-point solenoidal vector functions are also obtained. In the case of two centers they play the same role as the well-known electric and magnetic multipoles in one-centre problems (for example, problems of scattering or emission of a photon in the dipole approximation).