Role of the pauli principle in collective-model coupled-channel calculations

A multichannel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. By tracking the results in the zero coupling limit, a correct interpretation of the subthreshold and resonant spectra of the compound system can be made. As an example, the neutron-¹²C system is studied defining properties of ¹³C to 10 MeV excitation. Accounting for the Pauli principle in collective coupled-channels models is crucial to the outcome.