The Δ(1232) partial width anomaly (2|r|>Γ) arises naturally from S-matrix unitary mixing, shown via a heuristic elastic model treating the Δ(1600) as fully elastic.
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Lattice QCD calculation of branching ratios and form factors for π and K → ℓνℓγ decays at physical pion mass with IVR method, showing agreement with PIBETA for π→eνeγ and tensions with some kaon data.
Virtual contributions from the tails of rho(770) and omega(782) are comparable to those from their excited states rho(1450,1700) and omega(1420,1650) in B to eta(') K Kbar decays.
Residue phase θ of light hadron resonances is primarily determined by geometric phase δ₀ from the threshold, with vector resonances aligning closely and scalars showing 10-15° deviations attributed to Adler zeros.
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Rethinking Partial Widths: Unitary Mixing and the $\Delta(1232)$ Pole Residue
The Δ(1232) partial width anomaly (2|r|>Γ) arises naturally from S-matrix unitary mixing, shown via a heuristic elastic model treating the Δ(1600) as fully elastic.
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Lattice Calculation of Light Meson Radiative Leptonic Decays
Lattice QCD calculation of branching ratios and form factors for π and K → ℓνℓγ decays at physical pion mass with IVR method, showing agreement with PIBETA for π→eνeγ and tensions with some kaon data.
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Contributions of the subprocesses $\rho(770,1450,1700)\to K \bar{K}$ and $\omega(782,1420,1650)\to K \bar{K}$ for the three-body decays $B\to \eta^{(\prime)} K\bar{K}$
Virtual contributions from the tails of rho(770) and omega(782) are comparable to those from their excited states rho(1450,1700) and omega(1420,1650) in B to eta(') K Kbar decays.
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Elastic phase shift analysis reveals the geometric origin of the residue phase
Residue phase θ of light hadron resonances is primarily determined by geometric phase δ₀ from the threshold, with vector resonances aligning closely and scalars showing 10-15° deviations attributed to Adler zeros.