Abstract
The scattering state solutions of the Schrödinger equation for the Eckart potential with the centrifugal term are obtained approximately. It is shown that the solutions can be expressed in terms of the generalized hypergeometric functions 2F1(a, b; c; z). The normalized radial wave functions of scattering states on the ‘k/2π scale’ and the calculation formula of phase shifts are also derived. Three special cases for l = 0, β = 0 and r0 → ∞ are also studied briefly.
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