The iterative-perturbative inversion procedure: estimating errors and establishing reliability

作者：S.G. Cooper, R. S. Mackintosh · 发表于：Inverse Problems · 年份：1989 · DOI：10.1088/0266-5611/5/5/004 · 被引用次数：50 · 研究领域：Nuclear physics research studies、Atomic and Molecular Physics、Quantum Chromodynamics and Particle Interactions

The iterative-perturbative method for solving the fixed-energy inverse scattering problem, applicable to spin- 1 / 2 projectiles, is further developed. A procedure is described for estimating those uncertainties in the extracted potentials which arise from the inversion procedure. A comparison of different basis sets confirms the uniqueness of the potentials. The uncertainty formalism is evaluated with model cases, some with artificial noise in the S-matrix, and including a spin- 1 / 2 case. The method is applied to a previously published application involving the dynamic polarisation potential for nucleon scattering. The error formalism is used to validate the iterative-perturbative method for energies and projectiles where larger uncertainties might be expected.