Amplitude analysis of $D^{0} \rightarrow \pi^{+} \pi^{-} \pi^{+} \pi^{-}$ decays using CLEO-c data

TL;DR

This paper performs a comprehensive amplitude analysis of the decay D0 → π+ π− π+ π− using CLEO-c data, identifying key resonant contributions and measuring properties of the a1(1260) resonance.

Contribution

It presents the largest dataset analyzed for this decay mode with a full five-dimensional amplitude analysis, providing new insights into the resonant substructure and resonance parameters.

Findings

Identification of dominant decay contributions: a1(1260)+ π− and ρ(770)0 ρ(770)0

Measurement of the line shape, mass, and width of the a1(1260) resonance

Model-independent analysis of resonant line shapes

Abstract

The resonant substructure of the decay $D^{0} \rightarrow \pi^{+} \pi^{-} \pi^{+} \pi^{-}$ is studied by performing a full five-dimensional amplitude analysis. Preliminary results based on data collected by the CLEO-c detector are presented. This is the largest dataset of $D^{0} \rightarrow \pi^{+} \pi^{-} \pi^{+} \pi^{-}$ decays analysed in this way to-date. The two most significant contributions are $D^{0} \rightarrow a_{1}(1260)^{+} \pi^{-}$ and $D^{0} \rightarrow \rho(770)^{0}\rho(770)^{0}$. The line shape, mass and width of the $a_{1}(1260)$ resonance are determined, and model-independent studies of the line shapes of several resonant contributions are preformed.