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Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach

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

Daniel Sadasivan , Maxim Mai , Hakan Akdag , Michael Döring This is my paper · ORCID
classification nucl-thhep-phnucl-ex
keywords dalitzlineshapeplotsthree-bodyunitaryalephamplitudeapplied
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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 4 Pith papers

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

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

    hep-ph 2026-06 unverdicted novelty 6.5 of 10

    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.

  2. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0 of 10

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.

  3. Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined global fit of lattice QCD spectra and experimental Kbar N data within chiral unitary approaches gives pole positions for the Lambda(1380) and Lambda(1405) at physical and lattice quark masses, with systemat...

  4. Deep Neural Network Driven Simulation Based Inference Method for Pole Position Estimation under Model Misspecification

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Simulation-based inference trained on synthetic scattering data yields rho(770) pole estimates closer to reference values than chi-squared minimization in the tested misspecification cases.

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