Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs

Shao Bin

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(1) : 27-36

Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs

Shao Bin ^,

Department of Physics,Capital Normal University.Beijing 100037

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Abstract：
The SP(10) or SO(12) fermion dynamical symmetry group is constructed when G pairs are included in the fermion dynamical symmetry model. In this paper, an exact boson realization of the SP(10dasd) group is shown by the application of the geralized Dyson boson mapping. The boson images of the SU(5) subgroup generators are the same as the generators of the sdg interacting boson model (IBM) SU (5fadsd) limit. The fodasrmula of the SU(5) energydsssa spectra in the phenomenological sdgssa IBM can be expressed in the microscopic pardmeters of the fermisaon dynamical symmetry model.

References

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J.N.Ginocchio,Ann.Phys,126（1980）234.[2]C.-L.Wu,D.H.Feng,X.-G.Chen and M.W.Guidry.PhysRev,C36（1987）1157.[3]A.Klein and E.R.Marshalek,Rev Mod.Phys,63（1991）375.[4]F.Iachello and A.Arima,The Interacting Boson Model,（Cambridge University Press,1987）.[5]E.A.dekock and H.B.Geyer,Phys.Rev,C43（1991）1177.[6]A.Arima,Nucl.Phys,A421（1984）63C.[7]潘峰，曹丽芳，潘桢镛，高能物理与核物理，15（1991）647.[8]D.Janssen,F.Donau.S.Frauendorf and R.V.Jolos.Nucl.Phys,A224（1971）93.[9]H.B.Geyer and F.J.W.Hahne,Nucl.Phys,A363（1981）45.[10]G.-K.Kim and C.M.Vincent,PhysRev.C37（1988）2176.[11]A.Arima,H.Horie and Y.Tanabe,Prog.Theor.Phys.,11（1954）143.[12]凌寅生，高能物理与核物理，6（1982）77.[13]G.-K.Kim and C.M.Vincent,PhysRev.,C35（1987）1517.

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Shao Bin. Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs[J]. Chinese Physics C, 1994, 18(1): 27-36.

Shao Bin. Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs[J]. Chinese Physics C, 1994, 18(1): 27-36. shu

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Received: 1900-01-01
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

Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs

Shao Bin ^,

Corresponding author: Shao Bin,

Department of Physics,Capital Normal University.Beijing 100037

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-01-05

Abstract: The SP(10) or SO(12) fermion dynamical symmetry group is constructed when G pairs are included in the fermion dynamical symmetry model. In this paper, an exact boson realization of the SP(10dasd) group is shown by the application of the geralized Dyson boson mapping. The boson images of the SU(5) subgroup generators are the same as the generators of the sdg interacting boson model (IBM) SU (5fadsd) limit. The fodasrmula of the SU(5) energydsssa spectra in the phenomenological sdgssa IBM can be expressed in the microscopic pardmeters of the fermisaon dynamical symmetry model.