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Triangle Singularity as the Origin of the a_{1}(1420).

G D Alexeev1, M G Alexeev2,3, A Amoroso2,3

  • 1Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia.

Physical Review Letters
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Summary

A new light exotic meson signal, the a_{1}(1420), was observed. Researchers demonstrate this signal arises from the decay and rescattering of the a_{1}(1260) resonance, not a new particle.

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Area of Science:

  • Particle Physics
  • Hadron Spectroscopy
  • Quantum Chromodynamics

Background:

  • The COMPASS experiment observed a novel isovector axial-vector resonance, a_{1}(1420), decaying into f_{0}(980)π.
  • Its properties, near the a_{1}(1260) with a smaller width, suggested it might be a light exotic meson.

Purpose of the Study:

  • To investigate the origin of the a_{1}(1420) resonancelike signal.
  • To determine if the signal can be explained by known resonance decays and rescattering effects.

Main Methods:

  • Utilized a novel approach based on dispersion relations to calculate the decay amplitude.
  • Modeled the process as a_{1}(1260) decaying into K*K̄, followed by rescattering via a triangle singularity into the f_{0}(980)π channel.
  • Fitted the triangle-singularity model to COMPASS partial-wave data.

Main Results:

  • A resonancelike signal matching experimental data was reproduced by the triangle-singularity model.
  • The model provided a better fit to the data than a simple resonance hypothesis, despite having fewer parameters.
  • This suggests the observed signal is a three-body effect rather than a distinct exotic resonance.

Conclusions:

  • The a_{1}(1420) resonancelike structure can be explained by rescattering through a triangle singularity.
  • This finding provides the first evidence for such a mechanism in the light-meson sector.
  • The need for an additional resonance to explain the data is eliminated.