Linking the exotic structure of ${}^{17}$C to its unbound mirror ${}^{17}$Na

Abstract

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

13 pages, 5 figures

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Cited by in corpus (4)

• Low-lying single-particle structure of 17C and the N = 14 sub-shell closure
• Transfer reactions of exotic nuclei including core deformations: ${}^{11}$Be and ${}^{17}$C
• Very low-energy nucleon + 16O coupled-channel scattering: results with a phenomenological vibrational model
• Coupling to two target-state bands in the study of the n+22Ne system at low energy