An Effective Hamiltonian in the Continuous Variable Representation of IBM-II

Di Yaomin; Ha Yiming; Fu Deji

Chinese Physics C> 1992, Vol. 16> Issue(S3) : 329-337

An Effective Hamiltonian in the Continuous Variable Representation of IBM-II

Di Yaomin ¹ ,
Ha Yiming ² ,
Fu Deji ³

1 Xuzhou Teachers College, Jiangsu, China;
2 Shandong Agriculture University, Shandong, China;
3 Institute of Nuclear Research, the Chinese Academy of Sciences, Shanghai, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The dynamical aspects of IBM-II in the continuous variable representation are investigated by using the Dynamic Group Representation Generator Coordinate Method. The transformation from the degrees of freedom of proton and neutron to those of on-phase and out-of-phase motion is introduced and an effective Hamiltonian with this mode is derived. The features of the Hamiltonian, especially the minimum point of the system, are discussed.

[1]	Chao-Guang Huang , Shi-Bei Kong . Hamiltonian analysis of 4-dimensional spacetime inBondi-like coordinates. Chinese Physics C, 2018, 42(10): 105101. doi: 10.1088/1674-1137/42/10/105101
[2]	Wei-Wei Gao , He-Ting Li , Lin Wang . Preliminary study of EEHG-based superradiant undulator radiation at the HLS-II storage ring. Chinese Physics C, 2017, 41(7): 078101. doi: 10.1088/1674-1137/41/7/078101
[3]	Ya-Juan Tian , Tai-Hua Heng , Zhong-Ming Niu , Quan Liu , Jian-You Guo . Exploration of resonances by using complex momentum representation. Chinese Physics C, 2017, 41(4): 044104. doi: 10.1088/1674-1137/41/4/044104
[4]	Zhe Chang , Xin Li , Hai-Nan Lin , Yu Sang , Ping Wang , Sai Wang . Constraining Lorentz invariance violation from the continuous spectra of short gamma-ray bursts. Chinese Physics C, 2016, 40(4): 045102. doi: 10.1088/1674-1137/40/4/045102
[5]	Yong-Tao Liu , Gui-Rong Huang , Lei Shang , Hong-Xiang Lin , Bai-Ting Du . A method for designing a variable-channel high-power cavity combiner. Chinese Physics C, 2016, 40(8): 087002. doi: 10.1088/1674-1137/40/8/087002
[6]	XU Feng-Jun , YANG Fu-Zhong . Another representation of the β form of the inhomogeneous Picard-Fuchs equation. Chinese Physics C, 2013, 37(10): 101001. doi: 10.1088/1674-1137/37/10/101001
[7]	G. Audi , A.H. Wapstra , F.G. Kondev , M. MacCormick , X. Xu , B. Pfeiffer . The AME2012 atomic mass evaluation (II). Tables, graphs and references. Chinese Physics C, 2012, 36(12): 1603-2014. doi: 10.1088/1674-1137/36/12/003
[8]	DUAN Chun-Gui , LIU Na , MIAO Wen-Dan . The dependence of J/ψ-nucleon inelastic cross section on the Feynman variable. Chinese Physics C, 2011, 35(9): 804-807. doi: 10.1088/1674-1137/35/9/002
[9]	LI Ning , YAO Hai-Bo , CHEN Xi , WU Shi-Shu . Rigorous spectral representation of relativistic random phase approximation for finite nuclei. Chinese Physics C, 2010, 34(12): 1830-1835. doi: 10.1088/1674-1137/34/12/008
[10]	YU Yi , GUO Jian-You . Solution to the eigenstates of pairing Hamiltonian in finite nuclei. Chinese Physics C, 2009, 33(S1): 134-136. doi: 10.1088/1674-1137/33/S1/042
[11]	DU Jia-Xin , KE Hong-Wei , XU Ming-Mei , LIU Lian-Shou . Characterizing variable for the critical point in momentum space. Chinese Physics C, 2009, 33(8): 655-660. doi: 10.1088/1674-1137/33/8/011
[12]	ZHAO Xiao-Song , LÜ Jian-Qin . Computer simulations for intense continuous beam transport in electrostatic lens systems. Chinese Physics C, 2008, 32(9): 750-753. doi: 10.1088/1674-1137/32/9/013
[13]	ZHU Yong-Sheng . Implementation of upper limit calculation for a Poisson variable by Bayesian approach. Chinese Physics C, 2008, 32(2): 126-129. doi: 10.1088/1674-1137/32/2/010
[14]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[15]	LI Guang-Hua , SUN Hong-Zhou , HAN Qi-Zhi , LI Xian-Yin . The Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1991, 15(8): 742-747.
[16]	CAO Jian-Min , WANG Shun-Jin . SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION. Chinese Physics C, 1988, 12(4): 557-567.
[17]	Cheng Tansheng , Wu Chongshi , Zeng Jinyan . Particle-Number-Conserving Approach for Treating Cranking Hamiltonian. Chinese Physics C, 1988, 12(S3): 313-320.
[18]	WANG Shun-Jin , CAO Jian-Min , XU Gong-Ou . CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL. Chinese Physics C, 1987, 11(1): 111-119.
[19]	LING Yin-Sheng , GAO Shun-Fu . THE IBM EXPRESSIONS OF B(E2) FOR INTER REPRESENTATION TRASITIONS IN DEFORMED NUCLEI. Chinese Physics C, 1986, 10(5): 613-619.
[20]	GU JIN-NAN , LING YIN-SHENG , GAO YUAN-YI . THE SU(14) AND SU(5) LIMITING CASES OF s.d. g IBM. Chinese Physics C, 1982, 6(4): 453-461.

Access

Get Citation

Di Yaomin, Ha Yiming and Fu Deji. An Effective Hamiltonian in the Continuous Variable Representation of IBM-II[J]. Chinese Physics C, 1992, 16(S3): 329-337.

Di Yaomin, Ha Yiming and Fu Deji. An Effective Hamiltonian in the Continuous Variable Representation of IBM-II[J]. Chinese Physics C, 1992, 16(S3): 329-337. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1991-10-18

Fund

Supported by the Natural Science Foundation of the Education Commission of Jiangsu Province.

Article Metric

Article Views(505)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

An Effective Hamiltonian in the Continuous Variable Representation of IBM-II

1 Xuzhou Teachers College, Jiangsu, China;
2 Shandong Agriculture University, Shandong, China;
3 Institute of Nuclear Research, the Chinese Academy of Sciences, Shanghai, China

Received Date: 1991-10-18

Fund Project: Supported by the Natural Science Foundation of the Education Commission of Jiangsu Province.

Abstract: The dynamical aspects of IBM-II in the continuous variable representation are investigated by using the Dynamic Group Representation Generator Coordinate Method. The transformation from the degrees of freedom of proton and neutron to those of on-phase and out-of-phase motion is introduced and an effective Hamiltonian with this mode is derived. The features of the Hamiltonian, especially the minimum point of the system, are discussed.