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2024年10月30日

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

  • 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.
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  • [1] 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.
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Get Citation
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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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

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.

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