Theoretical prediction of three-body cluster resonances in ~(11)Li and ~(10)He

摘要

With the core+n+n three-body cluster model, we investigated ~(11)Li and ~(10)He. By using a ~9Li-n interaction which reproduce the degeneracy of single particle s~_(1/2)- and p_(1/2)-orbital states above the ~9Li+n threshold, a low-lying excited resonance is predicted in ~(11)Li together with the ground state, and they are found to be partners in mixed configurations of (0p_(1/2))~2 and 1s_(1/2))~2. The observed three-body resonance in ~(10)He is considered to be the two valence neutrons mainly in the p-orbit, (0p_(1/2))~2. In addition to a solution of the two valence neutrons in the p-orbit, we obtained a solution of the two valence neutrons mainly in the s-orbit, (1s_(1/2))~2, as the ground state. Experimentally, such a state has not yet been observed. This newly predicted state of ~(10)He with the main component of (1s_(1/2))~2 would corresponds to the ground state of ~(11)Li with a halo structure.