Calculation of the spectrum of 12Li by using the multistep shell model method in the complex energy plane

Abstract

The unbound nucleus ${}^{12}$Li is evaluated by using the multistep shell model in the complex energy plane assuming that the spectrum is determined by the motion of three neutrons outside the ${}^9$Li core. It is found that the ground state of this system consists of an antibound $1/2^{+}$ state and that only this and a $1/2^{-}$ and a $5/2^{+}$ excited states are physically meaningful resonances.

9 pages, 5 tables, 7 figures, printer-friendly version