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Note on the definitions of branching ratios of overlapping resonances

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arxiv 2207.08472 v2 pith:NI5XFF7V submitted 2022-07-18 hep-ph

classification hep-ph
keywords branchingratiosresonancesdefinitionsdifferentoverlappingpolewide
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Branching ratios for the decay of hadrons with large width or near thresholds depend on their definition. We test different definitions and show that rather different branching ratios can be obtained. For wide resonances and for sequential decays with wide intermediate resonances, integration over the spectral functions is mandatory. The tests are performed exploiting the latest solution of the Bonn-Gatchina multi-channel analysis and published values for residues of light scalar mesons. For a resonance overlapping with a threshold, in case its pole lies in a non-adjacent sheet, we show how the total width, needed for the branching ratios, does not correspond to the imaginary part of the pole position. We use the Madrid-Krakow dispersive parameterizations to illustrate this situation with the $f_0(980)$.

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Cited by 1 Pith paper

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

  1. Prediction of an $I(J^{P})=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^\ast B^\ast$ Threshold Using Lattice QCD Potentials

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A coupled-channel Born-Oppenheimer calculation with lattice QCD potentials predicts a broad \bar{b}\bar{b}ud tetraquark resonance about 4 MeV above the B*B* threshold, with mass 2m_B + 94 MeV and width 140 MeV.

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