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 n+16C 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 n+16C threshold are found. Adding Coulomb potentials to that nuclear interaction, the method is used for the mirror system of p+16Ne 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 ∼672 keV.