Extraction of scattering lengths from final-state interactions
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.
Cite
@article{arxiv.nucl-th/0506067,
title = {Extraction of scattering lengths from final-state interactions},
author = {A. Gasparyan and J. Haidenbauer and C. Hanhart},
journal= {arXiv preprint arXiv:nucl-th/0506067},
year = {2009}
}
Comments
16 pages, 6 figures, some corrections to text, to appear in Phys. Rev. C