Abstract:
We study two-dimensional scattering of a quantum particle by the superposition of a Coulomb potential and a central short-range potential. We analyze the low-energy asymptotic behavior of all radial wave functions, partial phases, and scattering cross sections of such a particle. We propose two approaches for evaluating the scattering length and the effective radius.
Keywords:two-dimensional scattering, superposition of Coulomb and central short-range potentials, low-energy asymptotic behavior, scattering length, effective radius.