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On the nature of a₁(1420)

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arxiv 1501.07023 v2 pith:3VJETRTE submitted 2015-01-28 hep-ph

On the nature of a₁(1420)

classification hep-ph
keywords diagrambranchingdecaydominantsignalstartriangleagreement
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The resonance-like signal with axial-vector quantum numbers $J^{PC}=1^{++}$ at a mass of $1420\,$MeV and a width of $140\,$MeV, recently observed by the COMPASS and VES experiments in the $f_0(980)\pi$ final state and tentatively called $a_1(1420)$, is discussed. Instead of a genuine new meson, we interpret this signal as a dynamical effect due to a singularity (branching point) in the triangle diagram formed by the processes $a_1(1260) \to K^\star \bar{K}$, $K^\star\to K\pi$, and $K \bar{K} \to f_0(980)$ (+ c.c). The amplitude for this diagram is calculated. The result exhibits a peak in the intensity with a sharp phase motion with respect to the dominant $a_1(1260) \to \rho \pi$ $S$-wave decay, in good agreement with the data. The branching ratio of $a_1(1260)\to f_0(980)\pi$ via the triangle diagram is estimated and compared to the dominant decay $a_1(1260)\to\rho\pi$.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 conditional novelty 6.5

    Nine-channel unitary three-body fits to COMPASS lineshapes reproduce the a1(1420) enhancement by triangle singularity without requiring a genuine a1(1420) pole.

  2. Three-body unitary determination of the $f_1(1285)$ and $f_1(1420)$ pole positions

    hep-ph 2026-06 unverdicted novelty 6.0

    Fitting a spectator-isobar three-body unitary amplitude to BESIII K0S K0S pi0 data yields poles at (1277±2±1)-i(12±1±0) MeV for f1(1285) and (1435±2±7)-i(40±2±1) MeV for f1(1420), with the latter traced to a K Kbar* q...

  3. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 unverdicted novelty 5.0

    Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.

  4. Effects of Final State Interactions on Landau Singularities

    hep-ph 2024-07 unverdicted novelty 5.0

    Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.