HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL

LU Lan-Chun; LIU Yong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(1) : 42-48

HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL

LU Lan-Chun ^, ,
LIU Yong

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan

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Abstract：
Considering that the IBM and IBFM cranking calculations in the lowest order of angular frequency can give reasonably good estimates for the moment of inertia,we extend them to study the dependence of the moment of inertia on the higher order terms.We find that the analytic expressions for the correction terms can be derived.Numerical calculations for ¹⁵⁴Gd and ¹⁶¹Er are performed and compared with experiment.The Hamiltonian is taken from a microscopic approach.Calculated results show that the properties of higher order terms depend on the deformation of rotating system but the correction yields only limited effect when ω is small.

References

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H. Schaaser and D.M. Brink, Nucl. Phys., A452(1986), 1.[2] 刘庸、桑建平，高能物理与核物理，12(1988),644.[3] 刘庸、桑建平，高能物理与核物理，13(1989),346.[4] Yang Zesen, Liu Yong and Qi Hui, Nucl. Phys., A421 (1984), 297[5] A. Bohr and B, R. Mottelson, Nuclear Structure V o1.II W. A. Benjamin Inc., New York (1975).[6] 杨泽森、钟毓澎、齐辉，杨立铭，高能物理与核物理，2(1978),158.[7] J. N. Ginocchio and M.W. Kirson, Nucl. Phys., A350 (1980), 31;Phyt. Rev. Lett.,44(1980), 1744.[8] A. Bohr and B.R. Mottelson, Physica Scripta, 22(1980), 468; 25(1982), 28.[9] Arpita Mishra and A. N. Mantri,J.Phys. G. Nucl. Phys., 13 (1987) L275.

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[4]	ZHOU Xian-Rong , GUO Lu , MENG Jie , ZHAO En-Guang . Spectral Statistics in Particles-Rotor Model and Cranking Model. Chinese Physics C, 2002, 26(11): 1125-1133.
[5]	HAN Yong . Angular Momentum Projection of Cranked PNC Wave Function. Chinese Physics C, 2000, 24(6): 546-553.
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[7]	Lin Xinwei , Liao Boqin , Zheng Renrong . A Study for Nuclei ¹⁶⁶Hf₉₄—¹⁷⁰Hf₉₈ Using Cranking Shell Model with PNC Method. Chinese Physics C, 1995, 19(4): 359-364.
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[11]	ZHAO Xiao-Feng , LI Xian-Yin . Microscopic IBM-2 Description of the Phase Transition of Nuclear Spectra Near A=130. Chinese Physics C, 1991, 15(3): 240-244.
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[13]	Xi Jinhua , Sun Hongzhou . The Application of IBM and IBFM in the Rare Earth Region. Chinese Physics C, 1990, 14(S2): 201-209.
[14]	XI Jin-Hua , SUN Hong-Zhou . THE APPLICATION OF IBM AND IBFM IN RARE EARTH REGION. Chinese Physics C, 1990, 14(3): 258-265.
[15]	PENG Jian-Ping , WU Chong-Shi , ZENG Jin-Yan . ON THE VALIDITY OF THE CHFB METHOD FOR TREATING THE CSM HAMILTONIAN. Chinese Physics C, 1989, 13(4): 362-369.
[16]	LIN Chun-Zhen , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CARNKED SHELL MODEL WAVE FUNCTION (Ⅰ) EVEN-EVEN NUCLEI. Chinese Physics C, 1988, 12(5): 689-696.
[17]	LIN Xin-Wei , LIAO Bo-Qin , TANG Xiang-Hong , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CRANKED SHELL MODEL WAVE FUNCTION (Ⅱ) ODD-A NUCLEI. Chinese Physics C, 1988, 12(6): 807-813.
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LU Lan-Chun and LIU Yong. HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL[J]. Chinese Physics C, 1990, 14(1): 42-48.

LU Lan-Chun and LIU Yong. HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL[J]. Chinese Physics C, 1990, 14(1): 42-48. 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

HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL

LU Lan-Chun ^,
LIU Yong

Corresponding author: LU Lan-Chun,

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-01-05

Abstract: Considering that the IBM and IBFM cranking calculations in the lowest order of angular frequency can give reasonably good estimates for the moment of inertia,we extend them to study the dependence of the moment of inertia on the higher order terms.We find that the analytic expressions for the correction terms can be derived.Numerical calculations for ¹⁵⁴Gd and ¹⁶¹Er are performed and compared with experiment.The Hamiltonian is taken from a microscopic approach.Calculated results show that the properties of higher order terms depend on the deformation of rotating system but the correction yields only limited effect when ω is small.