On the scattering length of the K- d system
Avraham Gal
Abstract
Multiple-scattering approximations to Faddeev calculations of the K- d scattering length are reviewed and compared with published Kbar-N-N <--> pi-Y-N fully reactive Faddeev calculations. A new multiple-scattering approximation which goes beyond the `fixed-center' assumption for the nucleons is proposed, aiming at accuracies of 5-10%. A precise value of the K- d scattering length from the measurement of the K- d 1s atomic level shift and width, planned by the DEAR/SIDDHARTA collaboration, plus a precise value for the K- p scattering length by improving the K- p atom measurements, are essential for extracting the K- n scattering length, for resolving persistent puzzles in low-energy Kbar-N phenomenology and for extrapolating into Kbar-nuclear systems.
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