Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

LIANG Shi-Dong; FU De-Ji; XU Gong-Ou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(3) : 256-265

Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

Guangdong Foshan University 5280002 Institute of Nuclear Research Shanghia 2018003 Nanjing University 210008

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Abstract：
By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM),the continuous variables representation of IBM is obtained under the low excitation approximation and is compared with BMM.Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as deformed nuclei have been discussed in an unified way.The accuracy and available extent of the continuous variables representation is demonstrated by means of analysing the potential surface and the spectra of Gd isotopes.The results have been compared with the experimental data and the algebraic solution of IBM (PHINT CODE).

References

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[1]	Anwer A . Correspondence between phenomenological and IBM-1 models of even isotopes of Yb. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101
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[3]	Di Yaomin , Ha Yiming , Fu Deji , Xu Gongou . The Solution of Dynamical Equation of Motion of IBM-II in Continuous Variable Representation. Chinese Physics C, 1993, 17(S2): 133-142.
[4]	ZHU Jian-Yang . The Moment of Inertia and Energy Spectrum for IBM Intrinsic Ground-State Single Phonon and Double Phonon Excited-States. Chinese Physics C, 1993, 17(9): 851-860.
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LIANG Shi-Dong, FU De-Ji and XU Gong-Ou. Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation[J]. Chinese Physics C, 1992, 16(3): 256-265.

LIANG Shi-Dong, FU De-Ji and XU Gong-Ou. Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation[J]. Chinese Physics C, 1992, 16(3): 256-265. 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

Comparison Between IBM and BMM;the Continuous Variables Representation Under the low Excitation Approximation

Corresponding author: LIANG Shi-Dong,

Guangdong Foshan University 5280002 Institute of Nuclear Research Shanghia 2018003 Nanjing University 210008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-03-05

Abstract: By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM),the continuous variables representation of IBM is obtained under the low excitation approximation and is compared with BMM.Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as deformed nuclei have been discussed in an unified way.The accuracy and available extent of the continuous variables representation is demonstrated by means of analysing the potential surface and the spectra of Gd isotopes.The results have been compared with the experimental data and the algebraic solution of IBM (PHINT CODE).