THE SU(14) AND SU(5) LIMITING CASES OF s.d. g IBM

GU JIN-NAN; LING YIN-SHENG; GAO YUAN-YI

Chinese Physics C> 1982, Vol. 6> Issue(4) : 453-461

THE SU(14) AND SU(5) LIMITING CASES OF s.d. g IBM

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the s. d IBM proposed by Arima and Iachello, g boson is introducedTwo chains of subgroups, SU(15)SU(5)SO(5)SO(3) and SU(15)SU(14)SO(5)S0(3) (i,e two limiting cases, SU(5) and SU(14)), of the s.d.g IBM arediscussed. It is shown that there appear 1⁺ states in these limiting cases, but not inthe s.d IBM and s.g IBM. The spectra of ²⁰⁰Hg are calculated in the SU(14) and SU(5) limiting cases and agreed with experiments. The results show that the excita-tion of g boson is possible in some vibrational nuclei.

References

[1]

A.Anima, F. Iachello, Ann. of Phys., (N. Y.), 99(1976), 253; 111(1978;, 201; 123(1979), 468.[2] a.凌寅生,s-d-g玻色子相互作用中的三种级限,高能钧理与核物理,1(1982), 77; b.吴华川,大角动f玻色子和偶偶核的转动,待发表.R. D. Ratna. Raju Phys. Rev., C23(1980), 518.[3] H. A. Jaha, Proc. Roy. Soc, A201(1950), 518; D. Littlewood. They of group characters,group eharacters, (1940), p. 240.[4] H. tiacry Leetnree on group theory and particle thetiry (1978), p. 126.[5] M. Hamermeesh Group theory and it's appbeation to Physice problem,(1964). 589.[6] B. F. Baymsn群论及其在挟谱学中的应用(上海科学技术出版社).[7] C. M. Lederer, V. S. Shirley Table of Isotopes, (1978);I. Morrison et al., .Phys. Rev C23 No.(1940), p. 240.[8] R. C. Greenvrood et at., Phys. Rev., C23 No. 1(1981), 163.[9] A. Arima, 访华报告(1981.4) Iaroduction to IBM. D. Oline Nuciear Interactions (1979), P. 39.

[1]	Da-Li Zhang , Cheng-Fu Mu . Description of the critical point symmetry in ¹²⁴Te by IBM-2. Chinese Physics C, 2019, 43(2): 024104. doi: 10.1088/1674-1137/43/2/024104
[2]	Mushtaq Abed Al-Jubbori , Khalaf Ajaj Al-Mtiuty , Khaliel. I. Saeed , Fadhil I. Sharrad . Properties of even ^168-178Hf isotopes using IBM-1 and SEF. Chinese Physics C, 2017, 41(8): 084103. doi: 10.1088/1674-1137/41/8/084103
[3]	ZHANG Da-Li , YUAN Shu-Qing , DING Bin-Gang . Description of the evolution of mixed-symmetry states in the N=78 isotonic chain with IBM2. Chinese Physics C, 2015, 39(7): 074102. doi: 10.1088/1674-1137/39/7/074102
[4]	DONG Fan-Long , WANG Wen-Yu , XIONG Zhao-Hua . Are operators describing b→sγ?. Chinese Physics C, 2011, 35(1): 6-10. doi: 10.1088/1674-1137/35/1/002
[5]	Li Cheng , Chen Hongfang , Le Yi , Zheng Hai , Wang Qing . Two Dimension Readout Method for MWPC With W-S Cathode Strip. Chinese Physics C, 1999, 23(7): 622-628.
[6]	Liu Yingtai , Liao Jizhi . Correction on the Energy Spectra of the O(6) Limit of IBM1 Containing af-Boson With Three-Body Potential. Chinese Physics C, 1999, 23(1): 59-64.
[7]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[8]	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.
[9]	Wang Huangsheng , Liao Jizhi . Applications of the O(6) Limit of IBM1 with Three-Body Potential to the Even-Even Platinum Nuclei. Chinese Physics C, 1994, 18(1): 91-96.
[10]	DENG Wei-Zhen , YANG Ze-Sen . Intrinsic Condensate Method for Microsopic IBM2 and Calculation of ¹⁶⁸Er Spectrum. Chinese Physics C, 1992, 16(3): 272-277.
[11]	Di Yaomin , Ha Yiming , Fu Deji . An Effective Hamiltonian in the Continuous Variable Representation of IBM-II. Chinese Physics C, 1992, 16(S3): 329-337.
[12]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[13]	DI Yao-Min . M1 Transitions in the Vibrational Limit Case of IBM-Ⅱ. Chinese Physics C, 1991, 15(12): 1101-1108.
[14]	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.
[15]	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.
[16]	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.
[17]	LIAO Ji-Zhi . APPLICATIONS OF s.d.g IBM TO EVEN TITANIUM MUCLEI. Chinese Physics C, 1986, 10(4): 486-489.
[18]	LING YIN-SHENG . THREE LIMITS IN THE INTERACTIONS OF THE s, d, g, BOSONS. Chinese Physics C, 1982, 6(1): 77-90.
[19]	MA ZHONG-QI , DONG FANG-XIAO , YUE ZONG-WU , ZHOU XIAN-JIAN , XUE PEI-YOU . DISCUSSION OF A SU(2)×U(1)×S₃ MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.
[20]	HE JU , ZHANG ZHAO-XI , HE ZUO-XIU . ON THE “DIRECT CHANNEL DIAGRAM” OF THE PRODUCTION OF THE （π⁺π^-）_s S-STATE ATOMS. Chinese Physics C, 1979, 3(3): 297-303.

Access

Get Citation

GU JIN-NAN, LING YIN-SHENG and GAO YUAN-YI. THE SU(14) AND SU(5) LIMITING CASES OF s.d. g IBM[J]. Chinese Physics C, 1982, 6(4): 453-461.

GU JIN-NAN, LING YIN-SHENG and GAO YUAN-YI. THE SU(14) AND SU(5) LIMITING CASES OF s.d. g IBM[J]. Chinese Physics C, 1982, 6(4): 453-461. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1981-07-08
Revised: 1900-01-01

Article Metric

Article Views(2070)
PDF Downloads(285)
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

THE SU(14) AND SU(5) LIMITING CASES OF s.d. g IBM

Received Date: 1981-07-08
Accepted Date: 1900-01-01
Available Online: 1982-08-05

Abstract: Based on the s. d IBM proposed by Arima and Iachello, g boson is introducedTwo chains of subgroups, SU(15)SU(5)SO(5)SO(3) and SU(15)SU(14)SO(5)S0(3) (i,e two limiting cases, SU(5) and SU(14)), of the s.d.g IBM arediscussed. It is shown that there appear 1⁺ states in these limiting cases, but not inthe s.d IBM and s.g IBM. The spectra of ²⁰⁰Hg are calculated in the SU(14) and SU(5) limiting cases and agreed with experiments. The results show that the excita-tion of g boson is possible in some vibrational nuclei.