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Back-angle anomalies of elastic α particle scattering

An analytic continuation of the S-matrix into the complex l plane is performed. A smooth cut-off representation for the S-matrix is parametrized so that its pole nearest to the real axis dominates the elastic scattering of strongly absorbed particles. An application to alpha particle elastic scattering data gives information about the nature of the pole trajectory. A description of the back-angle anomalies, their energy dependence and the isotope effect is presented.