%0 Journal Article %T Spectroscopy of $^{28}$Na: shell evolution toward the drip line %A A. Lepailleur %A K. Wimmer %A A. Mutschler %A O. Sorlin %A V. Bader %A C. Bancroft %A D. Barofsky %A B. Bastin %A T. Baugher %A D. Bazin %A V. Bildstein %A C. Borcea %A R. Borcea %A B. A. Brown %A L. Caceres %A A. Gade %A L. Gaudefroy %A S. Gr¨¦vy %A G. F. Grinyer %A H. Iwasaki %A E. Khan %A T. Kr£¿ll %A C. Langer %A A. Lemasson %A O. Llidoo %A J. Lloyd %A F. Negoita %A F. de Oliveira Santos %A G. Perdikakis %A F. Recchia %A T. Redpath %A T. Roger %A F. Rotaru %A S. Saenz %A M. -G. Saint-Laurent %A D. Smalley %A D. Sohler %A M. Stanoiu %A S. R. Stroberg %A J. C. Thomas %A M. Vandebrouck %A D. Weisshaar %A A. Westerberg %J Physics %D 2015 %I arXiv %R 10.1103/PhysRevC.92.054309 %X Excited states in $^{28}$Na have been studied using the $\beta$-decay of implanted $^{28}$Ne ions at GANIL/LISE as well as the in-beam $\gamma$-ray spectroscopy at the NSCL/S800 facility. New states of positive (J$^{\pi}$=3,4$^+$) and negative (J$^{\pi}$=1-5$^-$) parity are proposed. The former arise from the coupling between 0d$\_{5/2}$ protons and a 0d$\_{3/2}$ neutron, while the latter are due to couplings with 1p$\_{3/2}$ or 0f$\_{7/2}$ neutrons. While the relative energies between the J$^{\pi}$=1-4$^+$ states are well reproduced with the USDA interaction in the N=17 isotones, a progressive shift in the ground state binding energy (by about 500 keV) is observed between $^{26}$F and $^{30}$Al. This points to a possible change in the proton-neutron 0d$\_{5/2}$-0d$\_{3/2}$ effective interaction when moving from stability to the drip line. The presence of J$^{\pi}$=1-4$^-$ negative parity states around 1.5 MeV as well as of a candidate for a J$^{\pi}$=5$^-$ state around 2.5 MeV give further support to the collapse of the N=20 gap and to the inversion between the 0f$\_{7/2}$ and 1p$\_{3/2}$ levels below Z=12. These features are discussed in the framework of Shell Model and EDF calculations, leading to predicted negative parity states in the low energy spectra of the $^{26}$F and $^{25}$O nuclei. %U http://arxiv.org/abs/1503.08568v1