Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model

LU Dao-Ming; PING Jia-Lun

Chinese Physics C> 2004, Vol. 28> Issue(2) : 171-176

Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model

LU Dao-Ming ^, ,
PING Jia-Lun

Department of Physics,Nanping Teachers College,Nanping Fujian,353000,China2 Department of Physics,Nanjing Normal University,Nanjing Jiangsu,210097,China

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Abstract：
The systematics of the even platinum isotopes are described within the framework of the Fermion Dynamical Symmetry Model. By using a pairing—plus—quadrupole type interactions, we show that the transitional behavior of these isotopes can be effectively accounted for. Good agreement is obtained between theory and data for energy levels, B(E₂) values, electric quadrupole moments, gyromagnetic factors, and the isomer shifts and isotope shifts for ^190—196Pt. The Calculations are also compared with various results obtained from the Interacting Boson Model. Consequently, our numerical calculation show that a very accurate effective SO(6) dynamical sysmmetry exists around ¹⁹⁶Pt, even though the proton-neutron coupled system (SO^π(8)×SP^ν(6)) does not formally contain such a dynamical symmetry in the fermion dynamical symmetry model. Implications of this effective dynamical symmetry are discussed.

References

[1]

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LU Dao-Ming and PING Jia-Lun. Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model[J]. Chinese Physics C, 2004, 28(2): 171-176.

LU Dao-Ming and PING Jia-Lun. Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model[J]. Chinese Physics C, 2004, 28(2): 171-176. shu

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Received: 2003-05-12
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model

Corresponding author: LU Dao-Ming,

Department of Physics,Nanping Teachers College,Nanping Fujian,353000,China2 Department of Physics,Nanjing Normal University,Nanjing Jiangsu,210097,China

Received Date: 2003-05-12

Accepted Date: 1900-01-01

Available Online: 2004-02-05

Abstract: The systematics of the even platinum isotopes are described within the framework of the Fermion Dynamical Symmetry Model. By using a pairing—plus—quadrupole type interactions, we show that the transitional behavior of these isotopes can be effectively accounted for. Good agreement is obtained between theory and data for energy levels, B(E₂) values, electric quadrupole moments, gyromagnetic factors, and the isomer shifts and isotope shifts for ^190—196Pt. The Calculations are also compared with various results obtained from the Interacting Boson Model. Consequently, our numerical calculation show that a very accurate effective SO(6) dynamical sysmmetry exists around ¹⁹⁶Pt, even though the proton-neutron coupled system (SO^π(8)×SP^ν(6)) does not formally contain such a dynamical symmetry in the fermion dynamical symmetry model. Implications of this effective dynamical symmetry are discussed.

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Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model

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