A New Formula for the Spectra of Axial Symmetric and Transition Nuclei and a Quantity to Identify the Nuclear γ Deformation

Wu Lianao; Liu Gang

Chinese Physics C> 1996, Vol. 20> Issue(4) : 339-344

A New Formula for the Spectra of Axial Symmetric and Transition Nuclei and a Quantity to Identify the Nuclear γ Deformation

Wu Lianao ^, ,
Liu Gang

Department of Physics,Jilin University,Changchun 130023

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Abstract：
The analytical limits of a speacial potential of the Bohr Hamiltonian are discussed in detail.A new formula for the axial symmetric,triakial deformed and the γ-soft nuclei is presented.The nuclear γ deformation can be identified with this formula.The calculations of some nuclear yrast lines seproduce the experiment al results very Well,and the degree of the nuclear γ deformation is obtained.

References

[1]

吴崇试、曾谨言，高能物理与核物理，8（1984）219.[2]J.Meng,CS.Wu,J.Y.Zeng,Phys.Rev.,C44（1991）2545.[3]J.Y.Zeng,J.Meng,CS.Wu et al.,Phys.Rev.,C44（1991）R1745.[4]A.Bohr,B.Mottelson,Nuclear Structure,Vol.2.Benjamin,New York,1975.[5]B.G.Wyboum,Classical Groups for Physicists, John Wiley（1974）.[6]L.A.wu,C.L.Wu,MW.Guidry et al.,Nucl.Phys.,A565（1993）455.[7]L.AWu,GM.Zheng,X.G.Jing,Nucl.Phys.,A575（1994）85.[8]L.AWu et al.,Phys.Rev,C51（1995）2889;吴连坳等，高能物理与核物理，19（1995）941.

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Wu Lianao and Liu Gang. A New Formula for the Spectra of Axial Symmetric and Transition Nuclei and a Quantity to Identify the Nuclear γ Deformation[J]. Chinese Physics C, 1996, 20(4): 339-344.

Wu Lianao and Liu Gang. A New Formula for the Spectra of Axial Symmetric and Transition Nuclei and a Quantity to Identify the Nuclear γ Deformation[J]. Chinese Physics C, 1996, 20(4): 339-344. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A New Formula for the Spectra of Axial Symmetric and Transition Nuclei and a Quantity to Identify the Nuclear γ Deformation

Wu Lianao ^,
Liu Gang

Corresponding author: Wu Lianao,

Department of Physics,Jilin University,Changchun 130023

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-04-05

Abstract: The analytical limits of a speacial potential of the Bohr Hamiltonian are discussed in detail.A new formula for the axial symmetric,triakial deformed and the γ-soft nuclei is presented.The nuclear γ deformation can be identified with this formula.The calculations of some nuclear yrast lines seproduce the experiment al results very Well,and the degree of the nuclear γ deformation is obtained.