  Negative parity states in $^{20}$Ne and Gamow-Teller strength distribution
for the ground-state beta-decay of $^{20}$Na are calculated for the very first
time using recently developed No-Core Configuration-Interaction model. The
approach is based on multi-reference density functional theory involving
isospin and angular-momentum projections. Advantages and shortcomings of the
method are briefly discussed.
