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

THESU(14) ANDSU(5) LIMITING CASES OFs.d.gIBM

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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.dIBM and s.gIBM. 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.

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[4]	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.
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[18]	LIAO Ji-Zhi. APPLICATIONS OFs.d.gIBM TO EVEN TITANIUM MUCLEI. Chinese Physics C, 1986, 10(4): 486-489.
[19]	LING YIN-SHENG. THREE LIMITS IN THE INTERACTIONS OF THE s, d, g, BOSONS. Chinese Physics C, 1982, 6(1): 77-90.
[20]	MA ZHONG-QI,DONG FANG-XIAO,YUE ZONG-WU,ZHOU XIAN-JIAN,XUE PEI-YOU. DISCUSSION OF ASU(2)×U(1)×S₃MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.

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

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Received: 1981-07-08
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

THESU(14) ANDSU(5) LIMITING CASES OFs.d.gIBM

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) andSU(15)SU(14)SO(5)S0(3) (i,e two limiting cases,SU(5) andSU(14)), of the s.d.g IBM arediscussed. It is shown that there appear 1⁺states in these limiting cases, but not inthes.dIBM ands.gIBM. The spectra of²⁰⁰Hg are calculated in theSU(14) andSU(5) limiting cases and agreed with experiments. The results show that the excita-tion of g boson is possible in some vibrational nuclei.