Extraction of scattering lengths from final-state interactions
arXiv:nucl-th/0506067 · doi:10.1103/PhysRevC.72.034006
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.
16 pages, 6 figures, some corrections to text, to appear in Phys. Rev. C