On the Theory of Elastic Scattering of Particles

The problem of elastic scattering of particles has been considered by the potential quantization method. The properties of the eigenfunctions ϕν(+)(r) and eigenvalues αν(+) of this method for states with positive energies (continuous spectrum) have been studied. Under the assumption of the completeness of the set {ϕν(+)(r)}, the problem has been solved by expanding the desired wavefunction in this set. The proposed approach reproduces known results in all considered limiting cases. At the same time, it gives a more detailed description of the scattering amplitude than the standard phase theory.