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《中国物理C》(英文)编辑部
2024年10月30日

THE R(π/2) INVARIANCE OF NUCLEI

  • 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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  • [1] A.Bohr, B. R. MotteIson, Nucl. Structure,VII(1975).[2] 顾金南 Proc. of Int. Conf.Nucl. Phys ,(Florence Italy 1983) 121.[3] S G Nilsson et al., Nucl. Phys., A131(1969),1.[4] L K Peter et al. Phys. Rev. Lett.50(1983) 1749.
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Get Citation
GU Jin-Nan. THE R(π/2) INVARIANCE OF NUCLEI[J]. Chinese Physics C, 1986, 10(2): 223-230.
GU Jin-Nan. THE R(π/2) INVARIANCE OF NUCLEI[J]. Chinese Physics C, 1986, 10(2): 223-230. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE R(π/2) INVARIANCE OF NUCLEI

    Corresponding author: GU Jin-Nan,
  • Institute of Modern Physics, Academia Sinica, Lanzhou

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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