The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States

ZHU Jian-Yang

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(9) : 851-860

The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States

ZHU Jian-Yang ^,

Department of Physics,Fuzhou Teacher's College Jiang Xi 344000

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Abstract：
The IBM intrinsic ground-state,single phonon and double phonon excited-states are given,where the double phonon states are different linear combinations of single phonon states.The Hamiltonian is defined as both SU(3) limit and pairing interaction.Using cranking theory,the moment of inertia and energy spectrum for these states are calculated,and rational analytical expressions obtained.As an example,the rationality of these results is also discussed for ¹⁶⁸Er.

References

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A. Arima, F. Iachello, Phys. Rev. Lest.，35 (1975 ), 1069; Ann. Phys.，99 (1976 ) , 253; Ann. Phys.，111(1978),201.[2]H. Schaaser, D. M. Brink ,Nucl. Phys.，A452(1986),1.[3]吴崇试，曾谨言，高能物理与核物理，9(1985)，.[4]D. D. Warner,R. F. Casten, W. F. Davidson, Phys. Rev.，C24 (1981),1713.[5]T. T. Skuo, S. S. M. along, A. Arima in Topic in Nuclear Physics ,Springer-Verlag, Berlin(1981)，V2 , 866.

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ZHU Jian-Yang. The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States[J]. Chinese Physics C, 1993, 17(9): 851-860.

ZHU Jian-Yang. The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States[J]. Chinese Physics C, 1993, 17(9): 851-860. shu

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

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The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States

ZHU Jian-Yang ^,

Corresponding author: ZHU Jian-Yang,

Department of Physics,Fuzhou Teacher's College Jiang Xi 344000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-09-05

Abstract: The IBM intrinsic ground-state,single phonon and double phonon excited-states are given,where the double phonon states are different linear combinations of single phonon states.The Hamiltonian is defined as both SU(3) limit and pairing interaction.Using cranking theory,the moment of inertia and energy spectrum for these states are calculated,and rational analytical expressions obtained.As an example,the rationality of these results is also discussed for ¹⁶⁸Er.