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Abstract：
For the nuclear deformation of λ=2,4,6…, the most important symmetries are axial symmetry and R(π) invariance , but probably there is R(π/2) invariance in some nuclei. In this paper the possible occurrence of this new symmetry is analysed in general. In particular, the condition for the existence of the R(π/2) invariance, wave function of nucleus with R(π/2) invariance and signature-dependent terms in the matrix elements of an operator F are discussed in detail.
These provide an analysis of the experimental data, for example the alternating behavior of level energies and B(E/2) for Kπ=0+ and Kπ=0－ bands.
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References
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