  The article discusses how the pattern of elastic scattering of an electron on
a pair of identical atomic spheres will look if we abandon the standard in the
molecular physics assumption that, outside the molecular sphere, in the
external region, the wave function of the molecular continuum is atomic-like
and is a linear combination of regular and irregular solutions of the wave
equations. To do this, the elastic scattering of slow particles by pair of
non-overlapping short-range potentials has been studied. The continuum wave
function of particle is represented as a combination of a plane wave and two
spherical s-waves that propagated freely throughout space. The asymptotic of
this function determines in closed form the amplitude of elastic particle
scattering. It has been shown that this amplitude can be presented as a partial
expansion in a set of ortho-normal functions other, than spherical harmonics .
General formulas for these functions are obtained. The coefficients of the
scattering amplitude expansion to a series of functions determine the
scattering phases for the two-atomic target under consideration. The special
features of the S-matrix method for the case of arbitrary non-spherical
potentials are discussed.
