THE EFFECTIVE INTERACTION BETWEEN INTERACTING BOSONS

ZHOU XIAO-QIAN

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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(2) : 198-207

THE EFFECTIVE INTERACTION BETWEEN INTERACTING BOSONS

ZHOU XIAO-QIAN

Jiangsu Normal College

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Abstract：
In the original version of IBM, only the existence of p-p boson and n-n boson isassumed. Later on, Elliott and White attempted to consider the p-n boson and em-ployed the isospin. The above mentioned three kinds of bosons form an isospin triplet.They advocated that the effective Hamiltonian is isospin SU(2) invariant. In thisarticle, we have the view that the Hamiltonian contains besides the iso-invariant partalso a non-iso-invariant part. From the fact that IBM accounts for the low lying levelsof nuclei suceessfully, we can make some conclusion about the relations among the pa-rameters occuring in the effective interaction. The original version of IBM andElliott-White's theory are limiting cases of the present work. If IBM can also be ap-plied to odd-odd nuclei, a special type of spectrum can be pridicted. It seems that suchkind of spectrum do appear in the experiments for a number of odd-odd nuclei.

References

[1]

A. Arima and F, Iachello, Ann, Phys. (N. Y), 99 (1976), 259.[2] A. Arima and F. Iachello, Ann. Phys. (N. Y), 111 (1978), 207.[3] T. Otauka,A. Arima, F. Iaehello and I. Talmi, Phys. Lett., 788(1978), 139.[4] J. P. Elliott and A. P. White, Phys, Lett., 97B (1980), 169.[5] A. Arirtna, T. Otsuka, F. Iachello and I. Talmi Phys. Lett., 66B (1977), 205.[6] H. Feahbach, A. de Shalit, Theoretical Nuclear Physics, Vol. 1 (1974), 305.[7] J. P. Elliott, Proc. Soc.Ser., A (245) (1958), 562.[8] de Shalit, Phys.Rev., 91(1958), 1497.[9] S. G. Husatin, Nucl. Phys., A219(1974), 417

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ZHOU XIAO-QIAN. THE EFFECTIVE INTERACTION BETWEEN INTERACTING BOSONS[J]. Chinese Physics C, 1982, 6(2): 198-207.

ZHOU XIAO-QIAN. THE EFFECTIVE INTERACTION BETWEEN INTERACTING BOSONS[J]. Chinese Physics C, 1982, 6(2): 198-207. shu

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Received: 1981-05-04
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE EFFECTIVE INTERACTION BETWEEN INTERACTING BOSONS

ZHOU XIAO-QIAN

Jiangsu Normal College

Received Date: 1981-05-04
Accepted Date: 1900-01-01
Available Online: 1982-04-05

Abstract: In the original version of IBM, only the existence of p-p boson and n-n boson isassumed. Later on, Elliott and White attempted to consider the p-n boson and em-ployed the isospin. The above mentioned three kinds of bosons form an isospin triplet.They advocated that the effective Hamiltonian is isospin SU(2) invariant. In thisarticle, we have the view that the Hamiltonian contains besides the iso-invariant partalso a non-iso-invariant part. From the fact that IBM accounts for the low lying levelsof nuclei suceessfully, we can make some conclusion about the relations among the pa-rameters occuring in the effective interaction. The original version of IBM andElliott-White's theory are limiting cases of the present work. If IBM can also be ap-plied to odd-odd nuclei, a special type of spectrum can be pridicted. It seems that suchkind of spectrum do appear in the experiments for a number of odd-odd nuclei.