## Analyzing the results in terms of the nuclear force components

Our Hamiltonian contains one-body, two-body and three-body contributions and in the equations below, we label states below the Fermi level $$F$$ as $$i,j,\ldots$$ while states above the Fermi level are defined by $$a,b,\ldots$$. General single-particle states are given by the letters $$p,q \dots$$. The quantities $$pq\dots$$ represent the quantum numbers of various single-particle states, namely $$p=(n_p,l_p,j_p,m_{j_p},t_{z_p})$$. The commutation relations for creation and annihilations operators with respect to a given reference state are then given by $$\begin{equation*} \left\{a_p^\dagger, a_q \right\}= \delta_{pq}, p, q \leq F \hspace{0.5cm} \left\{a_p, a_q^\dagger \right\} = \delta_{pq}, p, q > F. \end{equation*}$$