https://doi.org/10.1140/epja/i2003-10203-3
Analysis of the
final-state interaction in the reaction
1
Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, Nußallee 14-16, D-53115, Bonn, Germany
2
Institut für Kernphysik, Forschungszentrum Jülich, D-52425, Jülich, Germany
3
Special Research Center for the Subatomic Structure of Matter (CSSM) and Department of Physics and Mathematical Physics, University of Adelaide, SA 5005, Australia
* e-mail: fh@iskp.uni-bonn.de
The missing-mass spectrum measured in high-resolution studies of the reaction is analyzed with respect to the strong final-state interaction near the
production threshold. The observed spectrum can be described by factorizing the reaction amplitude in terms of a production amplitude and a final-state scattering amplitude. Parametrizing the
final-state interaction in terms of the inverse Jost function allows a direct extraction of the low-energy phase-equivalent potential parameters. Constraints on the singlet and triplet scattering lengths and effective ranges are deduced in a simultaneous fit of the
invariant-mass spectrum and the total-cross-section data of the free
scattering using the effective-range approximation.
© Società Italiana di Fisica and Springer-Verlag, 2004