G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei

A new description of the hexadecapole degree of freedom in the medium and heavy mass region in the framework of the fermion dynamical symmetry model is proposed. In this letter, the k-active case is discussed in detail, in which the pairing and multipole operators generate Sp₁₀ group. The energy spectra are derived for two limiting cases. The results show that these limits and those in the s. d. g ZBM have one to one correspondence when N₁ (=N boson number in the s. d. g IBM)≤ Ω₁/5.