THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅱ. ANALYSIS OF THE GROUND BAND

WU Chong-Shi; ZENG Jin-Yan

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(4) : 445-452

THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅱ. ANALYSIS OF THE GROUND BAND

WU Chong-Shi ^, ,
ZENG Jin-Yan

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Abstract：
The vibrational-rotational band structure of the collective excitation spectrum in even-even deformed nucleus was established in previous paper. In this formulation the expression of the ground band spectrum can be written approximately in a closed form of two parameters. Using this new expression the ground bands of several typical even-even deformed nuclei are analyzed systematically. The calculation is in a agreement with the experiment. The variation of the nuclear deformation with the angular momentum is discussed in some detail.

References

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吴崇试、曾谨言, 高能物理与核物理, 将发表。[2] 吴崇试、曾谨言, 高能物理与核物理, 将发表。[3] 吴崇试、曾谨言, 高能物理与核物理, 将发表。[4] A. N. Lowan, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, ed. M. Abramowitz and I. A. Stegun, p. 751.[5] M. A. J. Mariscotti, G. Scharff-Goldhaber and B. Buck, Phys. Rev., 178 (1969), 1864[6] A. Buyrn, Nuclear Data Sheets, 14 (1975), 471.[7] L. R. Greenwood, Nuclear Data Sheets, 11 (1974), 385.[8] P. M. Walker, S. R. Faber, W. H. Bentle, R. M. Ronningen and R. B. Fireston, Nucl. Phys,A343 (1980), 45.[9] P. B. Piercey, J. H. Hamilton, A. V. Ramayya, H. Emling, P. Fuchs, E. Grosse, D. Schwalm,H. J. Wollersheirn, N. Trantmann, A. Faessler and M. Ploszajczak, Proc. Intern. Conf. on Band Structure and Nuclear Dynamics (New Orleans, 1980), p. 57.

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[2]	YU Lei , LIU Shu-Xin , LEI Yi-An , ZENG Jin-Yan . Underlying Physics of Identical Odd-and Even-Mass Bands in Normally Deformed Rare-Earth Nuclei. Chinese Physics C, 2001, 25(6): 526-532.
[3]	FANG Xiang-Zheng , RUAN Tu-Nan . Description of Ground States in Even-Even Deformed Nuclei with q-Deformed Three-Parameter Formula. Chinese Physics C, 2001, 25(3): 212-219.
[4]	ZHANG JinFu , PAK JaeYon , LIU FengYing . Low-Lying Spectra and E2 Transition Rates in Even-even Ce Isotopes in the Interacting Boson Model. Chinese Physics C, 2000, 24(11): 1066-1072.
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[8]	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.
[9]	LI Xian-Yin , ZHAO Xiao-Feng , WANG Yu-Cheng , LIU Yong . Microscopic Analysis of Intruder States and Configuration Mixing in Even-Even Nuclei Near Closed Shells. Chinese Physics C, 1991, 15(10): 928-936.
[10]	XING Zheng , CHEN Xing-Qu . Phenomenological Analysis of Superdeformed Bands in Even-Even Nuclei. Chinese Physics C, 1991, 15(11): 1020-1024.
[11]	WANG Zhen.WU Hua-Chuan , . A MICROSCOPIC STUDY OF THE E₄ PROPERTY OF DEFORMED EVEN-EVEN NUCLEI IN THE RARE EARTH REGION. Chinese Physics C, 1990, 14(7): 654-660.
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[16]	WU ChONG-Shi , ZENG Jin-Yan . COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND. Chinese Physics C, 1985, 9(1): 77-88.
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[18]	LIAO Ji-Zhi , PU Xian-An . A NEW EXPRESSION FOR THE ROTATIONAL BANDS OF AN EVEN-EVEN NUCLEUS. Chinese Physics C, 1984, 8(4): 486-490.
[19]	WU Chong-Shi , ZENG Jin-Yan . THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI (Ⅰ) THEORETICAL FORMULATION. Chinese Physics C, 1984, 8(2): 219-226.
[20]	WANG ZHENG-DA , ZHENG MAN-JIAO . A SIMPLE METHOD OF CALCULATING MOMENT OF INERTIA AT GROUND STATES OF EVEN-EVEN NUCLEI. Chinese Physics C, 1981, 5(6): 765-768.

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WU Chong-Shi and ZENG Jin-Yan. THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅱ. ANALYSIS OF THE GROUND BAND[J]. Chinese Physics C, 1984, 8(4): 445-452.

WU Chong-Shi and ZENG Jin-Yan. THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅱ. ANALYSIS OF THE GROUND BAND[J]. Chinese Physics C, 1984, 8(4): 445-452. 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

THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅱ. ANALYSIS OF THE GROUND BAND

WU Chong-Shi ^,
ZENG Jin-Yan

Corresponding author: WU Chong-Shi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract:

The vibrational-rotational band structure of the collective excitation spectrum in even-even deformed nucleus was established in previous paper. In this formulation the expression of the ground band spectrum can be written approximately in a closed form of two parameters. Using this new expression the ground bands of several typical even-even deformed nuclei are analyzed systematically. The calculation is in a agreement with the experiment. The variation of the nuclear deformation with the angular momentum is discussed in some detail.