THE <EM>R</EM>(π/2) INVARIANCE OF NUCLEI

GU Jin-Nan

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2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(2) : 223-230

THE R(π/2) INVARIANCE OF NUCLEI

GU Jin-Nan ^,

Institute of Modern Physics, Academia Sinica, Lanzhou

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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 K^π=0⁺ and K^π=0^－ bands.

References

[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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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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1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE R(π/2) INVARIANCE OF NUCLEI

GU Jin-Nan ^,

Corresponding author: GU Jin-Nan,

Institute of Modern Physics, Academia Sinica, Lanzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-04-05

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 K^π=0⁺ and K^π=0^－ bands.