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arxiv 2002.12431 v3 pith:EZKS7L6T submitted 2020-02-27 nucl-th hep-phnucl-ex

Dalitz plots and lineshape of a₁(1260) from a relativistic three-body unitary approach

classification nucl-th hep-phnucl-ex
keywords dalitzlineshapeplotsthree-bodyunitaryalephamplitudeapplied
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We formulate the final state interaction of the $a_1(1260)$ resonance decay in a manifestly three-body unitary parameterization and fit it to the $a_1(1260)$ lineshape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to numerically solve a previously derived amplitude and its generalization to isobars with spin and coupled channels. The model can also be applied to other meson decays and modified for the finite-volume problem as it arises in lattice QCD due to its manifest unitarity.

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Cited by 3 Pith papers

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

  1. 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...

  2. 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.

  3. 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.