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From pole parameters to line shapes and branching ratios

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arxiv 2403.15539 v2 pith:RG3TEKC7 submitted 2024-03-22 hep-ph hep-exnucl-th

From pole parameters to line shapes and branching ratios

classification hep-ph hep-exnucl-th
keywords resonancesbranchinglineparametersratiosshapespoleresonance
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Resonances are uniquely characterized by their complex pole locations and the corresponding residues. In practice, however, resonances are typically identified experimentally as structures in invariant mass distributions, with branching fractions of resonances determined as ratios of count rates. To make contact between these quantities it is necessary to connect line shapes and resonance parameters. In this work we propose such a connection and illustrate the formalism with detailed studies of the $\rho(770)$ and $f_0(500)$ resonances. Based on the line shapes inferred from the resonance parameters along these lines, expressions for partial widths and branching ratios are derived and compared to other approaches in the literature.

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Cited by 2 Pith papers

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

  1. Dispersive analysis of the $J/\psi\to\pi^0 \gamma^\ast$ transition form factor with $\rho$-$\omega$ mixing effects

    hep-ph 2025-11 unverdicted novelty 7.0

    Dispersive analysis with ρ-ω mixing produces a two-parameter fit describing BESIII data on the J/ψ→π⁰γ* form factor from 0 to 2.8 GeV and extracts a (62 ± 21)° relative phase between strong and electromagnetic modes.

  2. Kinetic Mixing and Axial Charges in the Parity-Doublet Model

    hep-ph 2025-12 unverdicted novelty 4.0

    Kinetic mixing terms are introduced in the parity-doublet model to reproduce the empirical axial charge g_A ≈ 1.28 of the nucleon along with masses of the nucleon and N*(1535).