Linking the exotic structure of 17C to its unbound mirror 17Na

The structure of 17C is used to define a nuclear interaction that, when used in a multichannel algebraic scattering theory for the system, gives a credible definition of the (compound) excitation spectra. When couplings to the low-lying collective excitations of the 16C-core are taken into account, both sub-threshold and resonant states about the threshold are found. Adding Coulomb potentials to that nuclear interaction, the method is used for the mirror system of to specify the low excitation spectrum of the particle unstable 17Na. We compare the results with those of a microscopic cluster model. A spectrum of low excitation resonant states in 17Na is found with some differences to that given by the microscopic cluster model. The calculated resonance half-widths (for proton emission) range from ∼2 to ∼672keV.