Abstract
A linear version of the variable-phase approach in potential-scattering theory is supplemented with a new asymptotic method. This method is intended for analyzing quantum mechanically and for constructing explicit low-energy approximations for partial-wave phase shifts, amplitudes, cross sections, and radial components of the wave function for the scattering of a quantum particle on an axially symmetric short-range potential. The procedure used to construct all low-energy approximations reduces to solving a recursion chain of energy-independent sets of equations, each such set consisting of two linear first-order differential equations.
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Original Russian Text © V.V. Pupyshev, 2014, published in Yadernaya Fizika, 2014, Vol. 77, No. 5, pp. 699–710.
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Pupyshev, V.V. Scattering of a slow quantum particle on an axially symmetric short-range potential. Phys. Atom. Nuclei 77, 664–675 (2014). https://doi.org/10.1134/S1063778814040103
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DOI: https://doi.org/10.1134/S1063778814040103