Space-Symmetry Group—Wigner Supermultiplet Scheme
Space symmetry or the supermultiplet scheme was introduced by Wigner in 1937 (Wig 37). He suggested that for light nuclei it may be a useful approximation to neglect spin dependence of the nuclear interactions besides taking account of the charge independence of the force. In this case, the interaction between two nucléons in identical spatial configurations is the same irrespective of the spin-charge states of the nucleons. The Hamiltonian can then be written involving space coordinates only. It should be pointed out that if the Hamiltonian is SU(4) invariant then all the states within an SU(4) irrep are degenerate in energy and we get the supermultiplet scheme.
KeywordsMatrix Element Casimir Operator Space Symmetry Body Operator Irreducible Tensor
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