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Extraction of scattering lengths from final-state interactions

A. Gasparyan·J. Haidenbauer·C. Hanhart
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Abstract

A recently proposed method based on dispersion theory, that allows to extract the scattering length of a hadronic two-body system from corresponding final-state interactions, is generalized to the situation where the Coulomb interaction is present. The steps required in a concrete practical application are discussed in detail. In addition a thorough examination of the accuracy of the proposed method is presented and a comparison is made with results achieved with other methods like the Jost-function approach based on the effective-range approximation. Deficiencies of the latter method are pointed out. The reliability of the dispersion theory method for extracting also the effective range is investigated.

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A. Gasparyan, J. Haidenbauer, C. Hanhart. 2005-09-15. Extraction of scattering lengths from final-state interactions. https://doi.org/10.1103/physrevc.72.034006

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