Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

LIANG Shi-Dong; FU De-Ji; XU Gong-Ou

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(3) : 256-265

Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

Guangdong Foshan University 5280002 Institute of Nuclear Research Shanghia 2018003 Nanjing University 210008

Abstract
HTML
Reference
Related

PDF

Abstract：
By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM),the continuous variables representation of IBM is obtained under the low excitation approximation and is compared with BMM.Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as deformed nuclei have been discussed in an unified way.The accuracy and available extent of the continuous variables representation is demonstrated by means of analysing the potential surface and the spectra of Gd isotopes.The results have been compared with the experimental data and the algebraic solution of IBM (PHINT CODE).

References

[1]

A.Arima, F, lachello, Phys. Rev. Lett., 35(1975), 1069. Ann. Phys. (N. Y.), 99(1976), 253; 111 (1978),;123(1979), 468.[2] A.Bohr, Mat. Fys. Medd. Dan. Vid.Selsk., 26(1952), I.A.Bohr.B. R. Mottelson, "Nuclear structure Vol. 2" (Benjamin, New York, 1975.)[3] J. N.Ginacchia, M. W. Kirson, Phys. Rev. Lett.,44(1980),1744. M. W.Kirsan, Ann. Phys.(N.Y.), 43(1982),448. A. E.L. Dieperink, O. Schalten, Nucl. Phys.,A348(1980), 31[4] A. E. L. Dieperink, Progress in Particke and Nuckear Physics Vol. 9 Pergamon Press Oxford, p. 128.[5] Fu De-ji, Ji De-huang, Chinese Journal of Nuclear phyricr, 11(1989), 21. Xu Gong-ou, Nucl. Phys., A1421(1984), 275.傅德基，潘为平，高能物理与核物理，11(1987)，522,徐躬辐，杨亚天，高能物理与核物理，8,(1984),352,[6] D. H. Feng, R. Gilmore, S. R. Deans, Phys. Rev., 023(1981), 1254.[7] Xu Gong-ou, Wang Shun-ji, yang Ya-lain, Phys. Rev., 036(1987),4.徐躬祸，中国科学，6(1974)，547,[8] Xu Gong-ou, Yang Yi; Phys, Rev., 041(1990), 1257.[9] E. P. Wigner, Phys. Rev., 40(1932), 749.[10] Xu Gong-ou, Li Fu-li and Fu De-ji, Phys, Rev., 043(1991), 1216.[11] P. O. Lipas et al., phys. Lett., B155(1985),.295.[12] 梁世东，硕士学位论文，上海原子核研究所,(1990),[13] J. M. isenberg, W. Greiner, "Nuclear Models" London, 1970), p36, p143.[14] P. O. Lipas et al., Phys. Scripts, 27(1983), 8.

[1]	Anwer A . Correspondence between phenomenological and IBM-1 models of even isotopes of Yb. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101
[2]	Zhang Dali , Liu Yuxin , Han Qizhi . An IBM2 Description on the Low-lying States of Even-even Xe Isotopes. Chinese Physics C, 1994, 18(12): 1130-1136.
[3]	Di Yaomin , Ha Yiming , Fu Deji , Xu Gongou . The Solution of Dynamical Equation of Motion of IBM-II in Continuous Variable Representation. Chinese Physics C, 1993, 17(S2): 133-142.
[4]	ZHU Jian-Yang . The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States. Chinese Physics C, 1993, 17(9): 851-860.
[5]	DI Yao-Min , HA Yi-Ming , FU De-Ji , XU Gong-Ou . The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation. Chinese Physics C, 1993, 17(6): 559-567.
[6]	ZHAO Yu-Min , GU Jin-Nan . Effective Boson Numbers in IBM-Ⅱ. Chinese Physics C, 1992, 16(10): 950-953.
[7]	DENG Wei-Zhen , YANG Ze-Sen . Hermitian Boson Expansion Approach of IBM Toward Cross Shell Excitation. Chinese Physics C, 1992, 16(1): 75-81.
[8]	DI Yao-Min , HA Yi-Ming , FU De-Ji . The Effective Hamiltonian With Continuous Variables Representation in IBM-Ⅱ. Chinese Physics C, 1992, 16(9): 849-856.
[9]	DI Yao-Min . M1 Transitions in the Vibrational Limit Case of IBM-Ⅱ. Chinese Physics C, 1991, 15(12): 1101-1108.
[10]	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.
[11]	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.
[12]	DAI Zi-Gao , FU De-Ji , LIANG Shi-Dong , XU Gong-Ou . The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances. Chinese Physics C, 1991, 15(6): 569-576.
[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]	CAO Jian-Min , WANG Shun-Jin . SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION. Chinese Physics C, 1988, 12(4): 557-567.
[16]	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.
[17]	FU De-Ji , PAN Wei-Ping . THE APPLICATION OF GCM TO NUCLEAR QUADRUPOLE EXCITATION AND ITS RELATION TO IBM. Chinese Physics C, 1987, 11(4): 522-532.
[18]	LIAO Ji-Zhi . APPLICATIONS OF s.d.g IBM TO EVEN TITANIUM MUCLEI. Chinese Physics C, 1986, 10(4): 486-489.
[19]	LIAO Ji-Zhi . THE CORRECTION OF IBM SPECTRUM FOR CORE EFFECT. Chinese Physics C, 1986, 10(3): 374-379.
[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

LIANG Shi-Dong, FU De-Ji and XU Gong-Ou. Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation[J]. Chinese Physics C, 1992, 16(3): 256-265.

LIANG Shi-Dong, FU De-Ji and XU Gong-Ou. Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation[J]. Chinese Physics C, 1992, 16(3): 256-265. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2944)
PDF Downloads(462)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

Corresponding author: LIANG Shi-Dong,

Guangdong Foshan University 5280002 Institute of Nuclear Research Shanghia 2018003 Nanjing University 210008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-03-05

Abstract: By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM),the continuous variables representation of IBM is obtained under the low excitation approximation and is compared with BMM.Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as deformed nuclei have been discussed in an unified way.The accuracy and available extent of the continuous variables representation is demonstrated by means of analysing the potential surface and the spectra of Gd isotopes.The results have been compared with the experimental data and the algebraic solution of IBM (PHINT CODE).