Note on the definitions of branching ratios of overlapping resonances
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 .
Keywords
Cite
@article{arxiv.2207.08472,
title = {Note on the definitions of branching ratios of overlapping resonances},
author = {V. Burkert and V. Crede and E. Klempt and K. V. Nikonov and J. A. Oller and J. R. Peláez and J. Ruiz de Elvira and A. V. Sarantsev and L. Tiator and U. Thoma and R. Workman},
journal= {arXiv preprint arXiv:2207.08472},
year = {2023}
}
Comments
Report, 9 pages (extended to light scalar mesons)