A MAPPING BETWEEN THE SU6 SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU6 SUBSPACE OF D.JANSSEN ET AL.

LI Xian-Yin; YAO Shi-Huai

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(4) : 476-482

A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.

LI Xian-Yin ^, ,
YAO Shi-Huai

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Abstract：
A mapping between the SU₆ subspace of the S-D boson states in the interacting boson model (IBM) of nuclei and the SU₆ subspace of the b-boson states as proposed by D.Janssen et al. is established. It is shown that under the mapping the SU₆ infinitesimal operators and the Hamiltonian of the IBM are transformed into the corresponding operators as proposed by D.Janssen et al. Furthermore wave functions of the b-boson states corresponding to the three dynamical symmetries in the IBM are constructed.

References

[1]	D. Janssen, R. V. Jolos and F. Donac, Nucl. Phys., A224 (1974), 93[2] A. Arima and F. Iachello, Phys. Rev. Lett., 35(1975), 1069. A. Anima and F. Iachello, Ann. Phys. (N. Y.), 99(1976), 253.[3] K. T. Hecht, Nucl. Phys., 63(1965), 117;孙洪洲, 高能物理与核物理, 4(1980), 478.杨泽森, 高能物理与核物理, 6(1982), 630.

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LI Xian-Yin and YAO Shi-Huai. A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.[J]. Chinese Physics C, 1985, 9(4): 476-482.

LI Xian-Yin and YAO Shi-Huai. A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.[J]. Chinese Physics C, 1985, 9(4): 476-482. shu

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Received: 1900-01-01
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

A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.

LI Xian-Yin ^,
YAO Shi-Huai

Corresponding author: LI Xian-Yin,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-08-05

Abstract: A mapping between the SU₆ subspace of the S-D boson states in the interacting boson model (IBM) of nuclei and the SU₆ subspace of the b-boson states as proposed by D.Janssen et al. is established. It is shown that under the mapping the SU₆ infinitesimal operators and the Hamiltonian of the IBM are transformed into the corresponding operators as proposed by D.Janssen et al. Furthermore wave functions of the b-boson states corresponding to the three dynamical symmetries in the IBM are constructed.