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Abstract
It is shown that Pade approximants can be obtained directly from the Fredholm expansion for scattering phase shifts. The accuracies of various Pade and Fredholm approximants taken up to the third order in the strength of the interaction potential are assessed by evaluating the S-wave phase shifts for the elastic scattering of particles by square-well and exponential potentials. The second-order Pade and Fredholm approximants are found to be quite accurate and both superior to the second Born approximation, while taken to third order they generally yield very accurate values for the phase shifts.
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Schedule a callMore From: Journal of Physics B: Atomic and Molecular Physics
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