Phase Motion in the Scalar Low-Mass pi+pi- Amplitude in D+ -> pi-pi+pi+ Decay
Ignacio Bediaga, Jussara M. de Miranda

TL;DR
This paper measures the phase motion of low-mass pi+pi- in D+ decays, providing evidence for the sigma(500) meson through amplitude difference analysis of Fermilab data.
Contribution
It introduces the application of the Amplitude Difference method to D+ decay data to study pi+pi- phase motion, supporting the sigma(500) meson existence.
Findings
Significant phase variation observed in pi+pi- system.
Results compatible with the sigma(500) meson.
Supports previous isobar model findings.
Abstract
Applying the Amplitude Difference method to Fermilab experiment E791 D+ -> pi-pi+pi+ data, we measure the low mass pi+pi- phase motion. Our results suggest a significant phase variation, compatible with the existence of an isoscalar sigma(500) meson, as previously reported using an isobar model fit to the full Dalitz-plot density.
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