Amplitude Analysis of the Decays D⁰→π⁺π^-π⁺π^- and π⁺π^-π⁰π⁰

2023/12/05 by BESIII Collaboration, М. Н. Ачасов, Ablikim, M. +723
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2312.02524

openalex publication_date 2023/12/05 · openalex created_date 2023/12/07 · openalex updated_date 2026/08/03

Abstract

Using e⁺e^- annihilation data corresponding to an integrated luminosity of 2.93 \rm fb^-1 taken at the center-of-mass energy √(s)=3.773~GeV with the BESIII detector, a joint amplitude analysis is performed on the decays D⁰→π⁺π^-π⁺π^- and D⁰→π⁺π^-π⁰π⁰(non-η). The fit fractions of individual components are obtained, and large interferences among the dominant components of D⁰→ a₁(1260)π, D⁰→π(1300)π, D⁰→ρ(770)ρ(770) and D⁰→2(ππ)_S are found in both channels. With the obtained amplitude model, the CP-even fractions of D⁰→ π⁺π^-π⁺π^- and D⁰→π⁺π^-π⁰π⁰(non-η) are determined to be (75.2±1.1_{\rm stat.}±1.5_{\rm syst.})% and (68.9±1.5_{\rm stat.}± 2.4_{\rm syst.})%, respectively. The branching fractions of D⁰→ π⁺π^-π⁺π^- and D⁰→π⁺π^-π⁰π⁰(non-η) are measured to be (0.688±0.010_{\rm stat.}± 0.010_{\rm syst.})% and (0.951±0.025_{\rm stat.}± 0.021_{\rm syst.})%, respectively. The amplitude analysis provides an important model for binning strategy in the measurements of the strong phase parameters of D⁰ → 4π when used to determine the CKM angle γ(ϕ₃) via the B^-→ D K^- decay.

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