Abstract
Using data from FOCUS (E831) experiment at Fermilab, we present a model independent partial-wave analysis of the K−π+ S-wave amplitude from the decay D+→K−π+π+. 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−π+ system.
Highlights
Over forty years have passed since the birth of the Constituent Quark Model, yet the scalar mesons still challenge theoreticians and experimentalists
In this paper we complete our study of the D+ → K−π+π+ Dalitz plot, applying, to the same data set, the model-independent partial wave analysis (MIPWA) technique, developed by the E791 Collaboration [10]
The decay fractions from the MIPWA and from our previous K-matrix Dalitz plot fit are in good agreement
Summary
Over forty years have passed since the birth of the Constituent Quark Model, yet the scalar mesons still challenge theoreticians and experimentalists. A golden mode for the neutral Kπ system is the decay D+ → K−π+π+, which has a largely dominant S-wave component — a common feature of three-body final states with identical pions This decay was already studied by the Fermilab FOCUS Collaboration [3]. In this paper we complete our study of the D+ → K−π+π+ (charge conjugate states are always implied) Dalitz plot, applying, to the same data set, the model-independent partial wave analysis (MIPWA) technique, developed by the E791 Collaboration [10]. In this method, the K−π+ S-wave amplitude is parameterized by a generic complex function, to be determined directly from the data. It is this interference with the P-wave that allows one to access the S-wave phase
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