From Calcium to Cadmium: Testing the Pairing Functional through Charge Radii Measurements of $^{100−130}$Cd

International audience; Differences in mean-square nuclear charge radii of $^{100–130} \rm{Cd}$ are extracted from high-resolution collinear laser spectroscopy of the $5s^2 S_{1/2} \to 5p^2 P_{3/2}$ transition of the ion and from the $5s5p^3P_2 \to 5s6s^3S_1$ transition in atomic Cd. The radii show a smooth parabolic behavior on top of a linear trend and a regular odd-even staggering across the almost complete $sdgh$ shell. They serve as a first test for a recently established new Fayans functional and show a remarkably good agreement in the trend as well as in the total nuclear charge radius.