The unbound nucleus ${}^{18}\mathrm{Na}$, acting as an intermediate nucleus in the sequential decay of ${}^{19}\mathrm{Mg}$, is situated beyond the proton drip line. We employ the coupled-channel Gamow shell model (GSM-CC) to investigate the properties of ${}^{18}\mathrm{Na}$, as well as the ${}^{17}\mathrm{Ne}(p,p)$ cross section. GSM-CC treats the nucleus as an open quantum system and provides a unified framework for studying both nuclear structure and reaction cross sections. Our calculations reproduce the energies and partial decay widths of low-lying states in ${}^{18}\mathrm{Na}$, as well as the ${}^{17}\mathrm{Ne}(p,p)$ cross section. Additionally, the mirror nucleus ${}^{18}\mathrm{N}$ is also described. The isospin symmetry breaking induced by the Coulomb interaction and continuum coupling is clearly obtained in our description of ${}^{18}\mathrm{Na}$ and ${}^{18}\mathrm{N}$ properties, arising from the extended $s_{1/2}$ partial wave. The isospin symmetry breaking in the ${}^{18}\mathrm{Na}/{}^{18}\mathrm{N}$ pair is compared to that occurring in the mirror pair ${}^{16}\mathrm{F}/{}^{16}\mathrm{N}$, whereby similarities and differences are analyzed.

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• Coulomb energies & analogue states
• Elastic scattering reactions
• H & He induced nuclear reactions
• Models & methods for nuclear reactions
• Nuclear structure & decays
• Resonance reactions
• 6 ≤ A ≤ 19
• Optical, coupled-channel & distorted wave models