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

THEU(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

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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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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

THEU(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 chainU(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 eachSU(4);(λμ) are the lebels of the irreducibele representations ofSp(4). All the permissiblevalues of [f] (λμ) △ I are calculated and a closed expression for energies is derived.