Effect of three-pion unitarity on resonance poles from heavy meson decays

TL;DR

This paper investigates how incorporating three-pion unitarity in the analysis of meson resonance decays affects the determination of resonance poles and decay distributions, providing a more accurate theoretical framework.

Contribution

It introduces a dynamical coupled-channels approach that enforces three-pion unitarity, improving upon previous isobar models in analyzing meson decay data.

Findings

Three-pion unitarity significantly shifts resonance pole positions.

The approach yields more accurate Dalitz plot descriptions.

Unitarity effects are essential for precise resonance characterization.

Abstract

We study the final state interaction in 3-pion decay of meson resonances at the Excited Baryon Analysis Center (EBAC) of JLab. We apply the dynamical coupled-channels formulation which has been extensively used by EBAC to extract N* information. The formulation satisfies the 3-pion unitarity condition which has been missed in the existing works with the isobar models. We report the effect of the 3-pion unitarity on the meson resonance pole positions and Dalitz plot.