Ground-state mass of Al and test of state-of-the-art \textit{ab initio} calculations
M.Z. Sun · Y. Yu🇨🇦 · X.P. Wang · M. Wang🇨🇳 · J.G. Li🇨🇳 · Y.H. Zhang🇨🇳 · K. Blaum🇩🇪 · Z.Y. Chen🇨🇳 · R.J. Chen · H.Y. Deng🇨🇳 · C.Y. Fu · W.W. Ge🇨🇳 and 24 other authors
The ground-state mass excess of the drip-line nucleus Al is measured for the first time to be keV using the newly-developed B-defined isochronous mass spectrometry method at the cooler storage ring in Lanzhou. The new mass excess value allowed us to determine the excitation energies of the two low-lying states in Al with significantly reduced uncertainties of 51 keV. Comparing to the analogue states in its mirror nucleus F, the mirror energy differences of the two states in the Al-F mirror pair are determined to be keV and keV, respectively. The excitation energies and the mirror energy differences are used to test the state-of-the-art \textit{ab initio} valence-space in-medium similarity renormalization group calculations with four sets of interactions derived from the chiral effective field theory. The mechanism leading to the large mirror energy differences is investigated and attributed to the occupation of the orbital.