The $K^{-}{\pi }^{+}$ S-wave from the $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay

Abstract

Using data from FOCUS (E831) experiment at Fermilab, we present a model independent partial-wave analysis of the $K^{-}{\pi }^{+}$ S-wave amplitude from the decay $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$. The S-wave is a generic complex function to be determined directly from the data fit. The P- and D-waves are parameterized by a sum of Breit-Wigner amplitudes. The measurement of the S-wave amplitude covers the whole elastic range of the $K^{-}{\pi }^{+}$ system.

13 pages, 9 figures, submitted to Physics Letters B