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arxiv 2112.03355 v2 pith:OMJCBPWO submitted 2021-12-06 hep-ph nucl-exnucl-th

Pole position of the a₁(1260) resonance in a three-body unitary framework

Daniel Sadasivan , Andrei Alexandru , Hakan Akdag , Felipe Amorim , Ruair\'i Brett , Chris Culver , Michael D\"oring , Frank X. Lee
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Maxim Mai
This is my paper
classification hep-ph nucl-exnucl-th
keywords poleamplitudespositionthree-bodyalephallowinganalyticapplication
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Masses, widths, and branching ratios of hadronic resonances are quantified by their pole positions and residues with respect to transition amplitudes on the Riemann sheets of the complex energy-plane. In this study we discuss the analytic structure in the physical energy region of three-body scattering amplitudes on such manifolds. As an application, we determine the pole position of the $a_1(1260)$ meson from the ALEPH experiment by allowing for $\pi\rho$ coupled channels in S- and D-wave. We find it to be $\sqrt{s_0}=(1232^{+15+9}_{-0-11}-i266^{+0+15}_{-22-27})~\text{MeV}$.

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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. 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. Two bodies left behind

    nucl-th 2026-05 unverdicted novelty 5.0

    In quasi-free high-energy breakup of a heavy-light bound state, the leading amplitude factors as the product of the remnant light-particle scattering amplitude, a probe-dependent dynamical function, and a real bound-s...

  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.