Collective Motion in System with General Multipolar-Deformations

GUO JianYou; RUAN TuNan; XU FuXin

Chinese Physics C> 2000, Vol. 24> Issue(8) : 780-786

Collective Motion in System with General Multipolar-Deformations

Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China2 Department of Physics, Anhui University, Hefei 230039, China3 CCASTWorld Laboratory, Beijing 100080, China

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Abstract：
A general formalism is given for the collective motion in a system with general multipolar-deformations, which is treated as vibrations in body-fixed frame and rotation of whole system about the axes of Lab-system, as well as the coupling between vibrations and rotation. 18 various body-fixed frames are defined for octupole deformed system, which shows they can be put into 9 various classifies and the determinants of metric matrix in the body-fixed frames defined by the variables a₃₀,a₃₁,a₃₂,b₃₁and a₃₀,a₃₁,b₃₁,b₃₂are 9a2 32 and 9b2 32, which are the simplest.

References

[1]

. Bohr A ,Dan.Mat.Fys.Medd .,1952 ,2 6( 14 ) 2. Philips W R ,Hmad I A ,Emling H et al.Phys .Rev.Lett.,1986,57:32 57 3. Urban W ,Philips W R ,Durell J L et al.Phys.Rev .,1997,C54 :94 54. Flibotte S ,Andrew H R ,Ball G C et al.Phys.Rev .Lett.,1993 ,71:4 2 995. Cederwall B ,Janssens R V F ,Brinkman M J et al.Phys.Rev .Lett.,1994 ,72 :31506. Hamamoto I,Mottelson B .Phys.Lett.,1994 ,B333 :2 94 7. Rohozinski S G .Phys.Rev .,1997,C56:165 8. GUO JianYou .Doctor Paper,1999 9. Lipas J P ,Davidson J P .Nucl.Phys.,1961,2 6:80 10. Davidson J P .Nucl.Phys.,1962 ,33 :664 11. Davidson M G .Nucl.Phys.,1965,69:4 4 5

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GUO JianYou, RUAN TuNan and XU FuXin. Collective Motion in System with General Multipolar-Deformations[J]. Chinese Physics C, 2000, 24(8): 780-786.

GUO JianYou, RUAN TuNan and XU FuXin. Collective Motion in System with General Multipolar-Deformations[J]. Chinese Physics C, 2000, 24(8): 780-786. shu

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Received: 2000-01-03
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

Collective Motion in System with General Multipolar-Deformations

Corresponding author: GUO JianYou,

Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China2 Department of Physics, Anhui University, Hefei 230039, China3 CCASTWorld Laboratory, Beijing 100080, China

Received Date: 2000-01-03
Accepted Date: 1900-01-01
Available Online: 2000-08-05

Abstract: A general formalism is given for the collective motion in a system with general multipolar-deformations, which is treated as vibrations in body-fixed frame and rotation of whole system about the axes of Lab-system, as well as the coupling between vibrations and rotation. 18 various body-fixed frames are defined for octupole deformed system, which shows they can be put into 9 various classifies and the determinants of metric matrix in the body-fixed frames defined by the variables a₃₀,a₃₁,a₃₂,b₃₁and a₃₀,a₃₁,b₃₁,b₃₂are 9a2 32 and 9b2 32, which are the simplest.