THE <EM>U</EM>(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA

SUN HONG-ZHOU; HAN QI-ZHI

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1982, Vol. 6> Issue(4) : 401-408

THE U(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA

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Abstract：
In this paper we discuss a possible dynamical supersymmetry in complex nuclearspectra--the U（6/4） supersymmetry. The wave functions of these nuclei which contain several s d bosons and 0, 1, 2, 3,or 4 j=3/2, fermions, can be classified by a Lie superalgebra chain U(6/4)SU(6/4)SU(6)SU(4)SU(4)SU(4) SU(4)Sp(4)SO(3) and can be written as|λ+δ[σσ][1^4-δ][f] (λμ) △IM>, δ=0, 1, 2, 3, 4.where [σσ][1^4-δ],[f] are the lebels of the irreducible representations of each SU(4);(λμ) are the lebels of the irreducibele representations of Sp(4). All the permissiblevalues of [f] (λμ) △ I are calculated and a closed expression for energies is derived.

References

[1]

F. Iachello, Phys. Rev.Lett., 44(1980), 772.[2] 韩其智等,高能物理与核物理,5(1981),546.孙洪洲等,高能物理与核物理,6(1982),317,[3] 孙洪洲,原子核物理,3(1981),119.[4] M. Hamermesh, Group Theory and 'its Applications to Phgsieal Problems Reading, Mass., Addi-son-Wesley, 1962.[5] B. F. Bagman, Some lecture on Groups and Their Applications to Spectroscopy. Nordila, 1960. 孙洪洲,高能物理与核物理,4(1980), 137.[6] I. Bars, YTP 80-17.[7] I. Bars, YTP 80-06.

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[6]	Wang Baolin . Analytical Description of Triaxial Deformation in O(6)-Like Nuclei. Chinese Physics C, 1997, 21(8): 745-750.
[7]	Cheng Zitao , Liu Xianhui . Study on the Structure of Hypernuclei _ΛΛ⁵H,_ΛΛ⁵He,_ΛΛ⁴He and _ΛΛ⁴H. Chinese Physics C, 1996, 20(8): 736-744.
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[16]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . SU(3) LIMIT OF U(6/20) SUPERSYMMETRY IN NUCLEI. Chinese Physics C, 1985, 9(5): 542-545.
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[18]	LI Xian-Yin , YAO Shi-Huai . A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.. Chinese Physics C, 1985, 9(4): 476-482.
[19]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . U(6/20) SUPERSYMMETRY IN NUCLEI AND ITS Spin (6) LIMIT. Chinese Physics C, 1985, 9(3): 278-282.
[20]	YU Zu-Rong . TRANSFORMATION COEFFICIENTS BETWEEN SO(6) AND SU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.

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SUN HONG-ZHOU and HAN QI-ZHI. THE U(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA[J]. Chinese Physics C, 1982, 6(4): 401-408.

SUN HONG-ZHOU and HAN QI-ZHI. THE U(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA[J]. Chinese Physics C, 1982, 6(4): 401-408. shu

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Received: 1980-10-13
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

THE U(6/4) SUPERSYMMETRY IN COMPLEX NUCLEAR SPECTRA

SUN HONG-ZHOU
HAN QI-ZHI

Received Date: 1980-10-13
Accepted Date: 1900-01-01
Available Online: 1982-08-05

Abstract: In this paper we discuss a possible dynamical supersymmetry in complex nuclearspectra--the U（6/4） supersymmetry. The wave functions of these nuclei which contain several s d bosons and 0, 1, 2, 3,or 4 j=3/2, fermions, can be classified by a Lie superalgebra chain U(6/4)SU(6/4)SU(6)SU(4)SU(4)SU(4) SU(4)Sp(4)SO(3) and can be written as|λ+δ[σσ][1^4-δ][f] (λμ) △IM>, δ=0, 1, 2, 3, 4.where [σσ][1^4-δ],[f] are the lebels of the irreducible representations of each SU(4);(λμ) are the lebels of the irreducibele representations of Sp(4). All the permissiblevalues of [f] (λμ) △ I are calculated and a closed expression for energies is derived.