Extraction of scattering lengths from final-state interactions

Details Extraction of scattering lengths from final-state interactions Extraction of scattering lengths from final-state interactions

2005-06-22

arxiv.org/abs/nucl-th/0506067v2

Phys.Rev. C72 (2005) 034006

Physics

Nuclear Physics

Nuclear Theory

16 pages, 6 figures, some corrections to text, to appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.72.034006

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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