The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation

DI Yao-Min; HA Yi-Ming; FU De-Ji; XU Gong-Ou

Chinese Physics C> 1993, Vol. 17> Issue(6) : 559-567

The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation

Xuzhou Teachers College,2210092 Shandong Agriculture University,Taian 2710183 Institute of Nuclear Reseach,Shanghai 2018004 Nanjing University,210008

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Abstract：
In this article the solution of dynamical equation of motion of IBM-Ⅱ in continuous variable representation is discussed.With appropriate transformation and approximation,the on-phase part of system manifests the vibration-rotation mode and the off-phase part the 'scissor mode',ect.In the last section the energy spectrum of ¹⁵⁶Gd is calculated.The result can well reproduce the algebraic result of IBM-Ⅱ.

References

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A.Arima et al.，Phys. Lett.，B66 (1977)，205.[2]F.Iachello, A. Arima, Phys. Lett.，B53 (1974), 309.Arima, F. Iachello, Phys. Rev. Lett.，35 (1975)，1069.[3]Xu Gongou, Li Fuli, Fu Deji, Phys.Rev.C43 (1991)，1226.[4]Xu Gongou, Yangyi, Fu Deji, Phys.Rev.C43 (1991)，1229.[5]D. Bohle et al.，Phvs. Lett.，B137(1984)，27.[6]狄尧民、哈益明、傅德基，高能物理与核物理，16 (1992), 849.[7]Xu Gongou, Wang Shunjin Yang Yiatian, Phys. Rev.，C36 (1987), 2095.[8]T. Otsuka et al.，Phys, Lett.，B76 (1978)，139.[9]N. Noludice, A. Richter, Phys. Lett.，B76 (1978), 139.[10]J. M. Eisenberg, W. Greiner, Nuclear Theory, Vol. 1，2nd ed(NorthHolland, Amsterdam, 1975).[11]R. Bijker, Phys. Rev,C35 (1985)，1442.[12]S. Pitte.l, J. Dukelsky,Phys. Rev.，C32 (1985)，335.[13]Nuclear Data Sheets, 19 (1976)，383.

[1] CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.
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DI Yao-Min, HA Yi-Ming, FU De-Ji and XU Gong-Ou. The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation[J]. Chinese Physics C, 1993, 17(6): 559-567.

DI Yao-Min, HA Yi-Ming, FU De-Ji and XU Gong-Ou. The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation[J]. Chinese Physics C, 1993, 17(6): 559-567. 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

The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation

Corresponding author: DI Yao-Min,

Xuzhou Teachers College,2210092 Shandong Agriculture University,Taian 2710183 Institute of Nuclear Reseach,Shanghai 2018004 Nanjing University,210008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-06-05

Abstract: In this article the solution of dynamical equation of motion of IBM-Ⅱ in continuous variable representation is discussed.With appropriate transformation and approximation,the on-phase part of system manifests the vibration-rotation mode and the off-phase part the 'scissor mode',ect.In the last section the energy spectrum of ¹⁵⁶Gd is calculated.The result can well reproduce the algebraic result of IBM-Ⅱ.