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Evidence for the Cusp Effect in η' Decays into ηπ^{0}π^{0}.

M Ablikim1, M N Achasov2, P Adlarson3

  • 1Institute of High Energy Physics, Beijing 100049, People's Republic of China.

Physical Review Letters
|March 10, 2023
PubMed
Summary
This summary is machine-generated.

Researchers observed a cusp effect in the eta prime to eta pi0 pi0 decay, providing new insights into pi pi scattering lengths. This finding aligns with theoretical predictions from nonrelativistic effective field theory.

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Area of Science:

  • Particle Physics
  • Quantum Chromodynamics
  • Hadron Spectroscopy

Background:

  • The eta prime meson (η') is a key particle for studying light meson spectroscopy.
  • Understanding pi pi scattering is crucial for testing fundamental theories like Quantum Chromodynamics (QCD).
  • Previous studies have indicated potential structures near the pi pi mass threshold.

Purpose of the Study:

  • To investigate the decay channel η'→ηπ⁰π⁰.
  • To search for and characterize the cusp effect at the π⁺π⁻ mass threshold.
  • To determine the ππ scattering length combination a₀-a₂ using experimental data.

Main Methods:

  • Analysis of 4.3×10⁵ η'→ηπ⁰π⁰ events from the J/ψ event dataset collected by the BESIII detector.
  • Application of nonrelativistic effective field theory (EFT) to model the decay dynamics.
  • Fitting the π⁰π⁰ invariant mass spectrum to extract parameters related to the cusp effect.

Main Results:

  • Observed evidence for a structure at the π⁺π⁻ mass threshold in the π⁰π⁰ invariant mass spectrum with a statistical significance of 3.5σ.
  • The observed structure is consistent with the cusp effect predicted by nonrelativistic EFT.
  • Determined the ππ scattering length combination a₀-a₂ = 0.226±0.060(stat)±0.013(syst).

Conclusions:

  • The study provides experimental evidence for the cusp effect in η'→ηπ⁰π⁰ decay.
  • The determined ππ scattering length combination a₀-a₂ agrees well with theoretical calculations.
  • This result contributes to a better understanding of low-energy ππ interactions and QCD.