A note on the calculation of the effective range

Details A note on the calculation of the effective range A note on the calculation of the effective range

2005-09-16

arxiv.org/abs/physics/0509147v1

J. Phys. B: At. Mol. Opt. Phys. 37 pp. 3765-3769 (2004)

Physics

Atomic Physics

4 pages

Scientific paper

10.1088/0953-4075/37/18/016

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 Schr\"odinger equation to known asymptotic boundary conditions, can be modified to include the first order contribution of a long range interaction.

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