Dalitz plot analysis of D_s+ and D+ decay to pi+pi-pi+ using the K-matrix formalism

TL;DR

This paper applies the K-matrix formalism to analyze D_s+ and D+ decays into three pions, aiming to better understand the underlying S-wave pipi scattering dynamics and the nature of the sigma meson.

Contribution

First application of the K-matrix formalism to charm decays, integrating light-meson spectroscopy data to model complex S-wave interactions in Dalitz plot analysis.

Findings

K-matrix approach successfully reproduces Dalitz plot features

Provides insights into the sigma meson controversy

Enhances understanding of pipi scattering dynamics

Abstract

FOCUS results from Dalitz plot analysis of D_s+ and D+ to pi+pi-pi+ are presented. The K-matrix formalism is applied to charm decays for the first time to fully exploit the already existing knowledge coming from the light-meson spectroscopy experiments. In particular all the measured dynamics of the S-wave pipi scattering, characterized by broad/overlapping resonances and large non-resonant background, can be properly included. This paper studies the extent to which the K-matrix approach is able to reproduce the observed Dalitz plot and thus help us to understand the underlying dynamics. The results are discussed, along with their possible implications on the controversial nature of the sigma meson.