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A Fully Algebraic Model for Multichannel Low Energy Nucleon-Nucleus Scattering

Compound resonances in nucleus-nucleus scattering (bound states in the continuum) relate to bound states in the subsystems. Both types of resonances can be studied in a unified and general framework by a model for the scattering that uses Sturmian expansions of multichannel interactions between the colliding nuclei. Associated with such expanded multichannel interactions are algebraic multichannel scattering matrices. As an example, we have used the collective model (to second order) to define the interaction potentials for low energy neutron- 12C scattering allowing coupling between the ground 0+1, 2+1 (4.44 MeV), and 0+2 (7.64 MeV) states. The algebraic S matrix for this system then has been evaluated and cross sections as a function of energy obtained Resonance structures occur naturally and are reflected in the actual measured data.