A multichannel algebraic scattering theory has been used to study the properties of nucleon scattering from ${}^{12}\mathrm{C}$ and of the subthreshold compound nuclear states. The theory accounts for properties in the compound nuclei to ∼10 MeV. All compound and quasicompound resonances observed in total cross-section data are matched, and, on seeking solutions of the method at negative energies, all subthreshold states in ${}^{13}\mathrm{C}$ and ${}^{13}\mathrm{N}$ are predicted with the correct spin-parities and with reasonable values for their energies. A collective-model prescription has been used to define the initiating nucleon-${}^{12}\mathrm{C}$ interactions and, via use of orthogonalizing pseudopotentials, account is made of the Pauli principle. Information is extracted on the underlying structure of each state in the compound systems by investigating the zero-deformation limit of the results.

• Received 31 January 2005

DOI:https://doi.org/10.1103/PhysRevC.72.014601