Odd-$J$ states of isospin zero and one for 4-nucleon systems: Near-degeneracies

In this work we calculate the energies odd $J^{+}$ states in selected even-even nuclei—${}^{44}\mathrm{Ti}{}^{52}\mathrm{Fe}$, and ${}^{96}\mathrm{Cd}$. Of particular interest is the fact that in many cases the first $T=0$ and the first $T=1$ state are close in energy. Whether the lowest odd $J$ state has $T=0$ or $T=1$ is here considered.