any group of particles do not form any closed shells, or cluster structures. Otherwise, the meaning of the computed properties rapidly became unclear when the total number of identical particles increases. For instance, for highly excited ${}^{2}S(L = 
0)$-states in the Li atom (see Tables II and III) one of the three electrons is moving as almost free particle. In old atomic physics such a motion was considered as the pre-dissociation. This means that the electron-nucleus distance for that electron is extremely large in comparison to the analogous distances determined for two other electrons which occupy the closed $1s^2$-shell. To calculate the expectation value $\langle r_{eN} \rangle$ we need to sum up all three electron-nucleus distances (two relatively short and one very large $r_{eN}$ distances) and divide the arising sum by three. Finally, we obtain the expectation value $\langle 
r_{eN} \rangle$ which, in fact, gives us no useful information. It is similar to the mean patient temperature measured over the ‘whole hospital’. The same is true for other bound state properties, including all electron-nucleus and electron-electron properties. Formally, in such cases we need to assume that some originally identical particles becomes ‘less-identical’, or even ‘non-identical’ for highly excited states. If 