Diproton correlation in a proton-rich Borromean nucleus 17Ne

We carry out three-body-model calculations for a proton-rich Borromean nucleus ${}^{17}$Ne by assuming a ${}^{15}$O + $p$ + $p$ structure. To this end, we use a density-dependent contact interaction between the valence protons, explicitly treating also the Coulomb interaction. We find that the two-particle density distribution for ${}^{17}$Ne is similar to that for ${}^{16}$C, which has two valence neutrons outside the $N$ = 8 core. That is, the two protons take a spatially compact configuration, while the Coulomb repulsion plays a minor role. This indicates that there is a strong diproton correlation in the ground state of the ${}^{17}$Ne nucleus. We also show that the Coulomb interaction reduces the expectation value of the proton-proton interaction by about 14%.