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

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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.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.

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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. 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

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

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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.