Theoretical Investigation of the Exotic Structure of the Mirror Nuclei ¹⁷Ne and ¹⁷N

The exotic structures of the ground state of the mirror nuclei ¹⁷Ne and ¹⁷N are investigated by means of the asymptotic normalization coefficient (ANC) method to explore the role of the Coulomb interaction. The probabilities of a valence nucleon outside the binding-potential are P = 56.69±_7.46^2.98% for ¹⁷Ne and P = 45.51±_5.81^2.32% for ¹⁷N. The rms radii are ⟨r²⟩^1/2 = 5.06±_0.30^0.11 fm and ⟨r²⟩^1/2 = 4.24±_0.16^0.06 fm, respectively. The results obtained are nearly independent of the potential parameters. According to the halo occurrence conditions, it is suggested that ¹⁷Ne is a two-proton halo and ¹⁷N is a two-neutron skin. Moreover, two effects of the Coulomb interaction on the exotic structure are analysed. From the present results, the exotic structure of the nucleus in the proton-rich side is more obvious than that of its mirror nucleus because of the Coulomb interaction.