Analysis of the final-state interaction in the reaction
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
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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