The closed form of the first order non-linear differential equation that is satisfied by the effective range within the variable phase formulation of scattering theory is discussed. It is shown that the conventional method of determining the effective range, by fitting a numerical solution of the Schrödinger equation to known asymptotic boundary conditions, can be modified to include the first order contribution of a long range interaction.
|Number of pages||5|
|Journal||Journal of Physics B: Atomic, Molecular and Optical Physics|
|Publication status||Published - 28 Sep 2004|