Characterization of the structure and eigenvalue spectra of the compound states of Sm IX

Using the configuration interaction Hartree–Fock method, the even and odd Hamiltonian matrices of Sm IX are studied in the ls and jj coupling schemes. Sm IX is isoelectronic with Xe but because of 4f orbital contraction, and the near degeneracy of 4f and 5p binding energies, the lowest configuration is a mixture of states with differing numbers of 4f and 5p electrons. Diagonalization of the Hamiltonian results in a set of eigenvalues and eignvectors which are characterized using various statistical tests of random matrix theory.

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