Non-Relativistic Phase Shifts for Scattering on Generalized Radial Yukawa Potentials

Authors: Oluwadare, O. J., Thylwe, K.-E., Oyewumi, K.J.
Document Type: Article
Pubstate: Published
Journal: Commun. Theor. Phys.
Volume: 65   434–440
Year: 2016


Non-relativisticphaseshiftsforageneralizedYukawapotential V(r)=?V0exp(??r)/r?V1exp(?2?r)/r^2 are studied by the amplitude-phase method and by a frequently used analytic method based on a Pekeris-type approximation of power-law potential terms. Small variations of V1 seem to have marginal effects on the effective potential and on exact phase shifts. However, as pointed out in this study, a Pekeris-type approximation in scattering applications often implies serious distortions of both effective potentials and phase shifts. The Pekeris-type based analytic approximation in this study seems to give low-quality scattering results for this model potential at low energies.