Abstract
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 IBM have one to one correspondence when N1 (=N boson number in the s.d.g IBM) ⩽ Ω1/5.
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