Analysis of the Lambda p final-state interaction in the reaction p+p -> K+(Lambda p)

摘要

The missing-mass spectrum measured in high-resolution studies of the reaction pp --> K+ X is analyzed with respect to the strong final-state interaction near the Lambdap 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 Lambdap 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 Lambdap invariant-mass spectrum and the total-cross-section data of the free Lambdap scattering using the effective-range approximation.