Determine the magnitudes and strong phases of the topological amplitudes

Determine the magnitudes and strong phases of the topological amplitudes governing Omega_c^0 decays into decuplet and octet baryons within the SU(3)_F framework, using additional experimental data.

Background

The paper derives the topological-amplitude decomposition for Omega_c^0 decays into decuplet and octet baryons and obtains relations among amplitudes from SU(3)_F and isospin symmetry. However, the available experimental measurements are insufficient to fit the nonperturbative topological parameters. In particular, both the magnitudes and strong phases remain undetermined. Future measurements of branching fractions and decay parameters are identified as necessary for extracting the tree-amplitude parameters and subsequently estimating quark-loop amplitudes and CP asymmetries.