A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES

YANG TSE-SEN; LIU YONG; TIAN XIAO-CEN

Chinese Physics C> 1982, Vol. 6> Issue(4) : 472-479

A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES

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Abstract：
With a usual choice of the effective nucleon-nucleon interactions consisting of apairing force, a quadrupole pairing force and a quadrupole-quadrupole force, the mic-roscopic approach, as dascribed in our previous work based on the Dyson bosonexpansion and based on the so-called modified Jancovici-Schiff substitution is fol-lowed to obtain a group of eigen-equations for determining the IBM bosons and findthe microscopic expressions of the coefficients appearing in the interaction terms ofthe IBM Hamiltonian. The results given in the present paper can be used directly incalculating the collective spectrum of nuclei with identical valence nucleons outsideclosed shells.

References

[1]	杨泽森, 杨立铭食议文集、Interaeting Boson-Fermi Systeme in Nuclei, ed.F.Iachello (Plenum,New York 1981).[2] D.R.Bes and R.A.Broglia, Phys .Rev, C3(1971),2349.[3] D. Jansaen, F. Donau, S. Franendorf and R. V. Jalos, Nucl Phys.,A172(1971), 145.

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YANG TSE-SEN, LIU YONG and TIAN XIAO-CEN. A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES[J]. Chinese Physics C, 1982, 6(4): 472-479.

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Received: 1981-11-28
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

A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES

Received Date: 1981-11-28
Accepted Date: 1900-01-01
Available Online: 1982-08-05

Abstract: With a usual choice of the effective nucleon-nucleon interactions consisting of apairing force, a quadrupole pairing force and a quadrupole-quadrupole force, the mic-roscopic approach, as dascribed in our previous work based on the Dyson bosonexpansion and based on the so-called modified Jancovici-Schiff substitution is fol-lowed to obtain a group of eigen-equations for determining the IBM bosons and findthe microscopic expressions of the coefficients appearing in the interaction terms ofthe IBM Hamiltonian. The results given in the present paper can be used directly incalculating the collective spectrum of nuclei with identical valence nucleons outsideclosed shells.