Few-body structures in the mirror nuclei O 11 and Li 11

13 pags., 5 figs., 8 tabs.We investigate the dripline mirror nuclei Li11 and O11, located on the neutron and proton dripline, respectively. We calculate the lowest four states, 3/2-, 1/2+, 3/2+, and 5/2+, built on double occupancy in the nuclear s1/2 and p1/2 valence single-particle states. We use the hyperspherical adiabatic expansion method to solve the three-body problem for a frozen nuclear core surrounded by two identical nucleons. The four analog states in O11 are obtained with precisely the same interactions as used for the four states in Li11, except for addition of the Coulomb interaction from the charge of the substituted valence protons. Surprisingly, the four energies deviate from each other only by less than a few hundred keV. Any of them could then turn out to be the ground state, due to the uncertainty related to the angular momentum and parity dependence of the three-body potential. Still, our calculations marginally favor the 1/2+ state. The structures of these four states in O11 deviate substantially from the analog states in the mirror, Li11.This work has been partially supported by the Spanish Ministry of Science, Innovation and University MCIU/AEI/FEDER,UE (Spain) under Contract No. PGC2018-093636-B-I00