THE DYNAMICAL U(15/30)SUPERSYMMETRIES IN NUCLEI AND ITS SU(3)LIMIT

In this paper, g-boson is introduced into the interacting boson-fermion model (IBFM) of nuclei,and the single fermion is supposed to occupy 5 single-particle orbits with the angular j=1/2.3/2.5/2,7/2,9/2 individually.we find that there exist dynamical U(15/30) supersymmetries in nerclei. First the supersymmetry U(15/30) and its group chains obtained by its reduction to Spin (3) are studied and then two SU(3) limits are discussed in detail. Finally the two SU(3) limits are applied to nuclei ²³⁵₉₂U₁₄₃ and ¹⁸⁵₇₄W₁₁₁ respectively, the results are quite good.