Generating matrix elements of the central and spin-orbital interaction operator in the lightest nuclei of p-shell

The generating matrix elements of the central and spin-orbital interaction operators in the lightest nuclei of the p-shell are constructed. These matrix elements may be used to diagonalize the nuclear Hamiltonian both in the basis of the irreducible representation of the group Sp(2, R) which reproduces the longitudinal oscillations of the nuclear inertia ellipsoid and in the basis which reproduces the relative motion of clusters. The problem of going beyond the minimal GHFM approximation can easily be solved