Note on the definitions of branching ratios of overlapping resonances

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 branching can be obtained. For wide resonances sequential decays intermediate resonances, integration over spectral functions is mandatory. The tests are performed exploiting latest solution Bonn-Gatchina multi-channel analysis published values residues light scalar mesons. a resonance overlapping threshold, in case its pole lies non-adjacent sheet, we how total width, needed ratios, does not correspond to imaginary part position. use Madrid-Krakow dispersive parameterizations illustrate this situation $f_0(980)$.