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The unbound nucleus $^{18}$Na, the intermediate nucleus in the two-protonradioactivity of $^{19}$Mg, was studied by the measurement of the resonantelastic scattering reaction $^{17}$Ne(p,$^{17}$Ne)p performed at 4 A.MeV.Spectroscopic properties of the low-lying states were obtained in a R-matrixanalysis of the excitation function. Using these new results, we show that thelifetime of the $^{19}$Mg radioactivity can be understood assuming a sequentialemission of two protons via low energy tails of $^{18}$Na resonances.

Spectroscopy of $^{18}$Na: Bridging the two-proton radioactivity of $^{19}$Mg