Comparison between formulas of rotational band for axially symmetric deformed nuclei

WU Xi; LEI Yi-An

doi:10.1088/1674-1137/32/2/008

Chinese Physics C> 2008, Vol. 32> Issue(2) : 112-119 DOI: 10.1088/1674-1137/32/2/008

Comparison between formulas of rotational band for axially symmetric deformed nuclei

WU Xi ,
LEI Yi-An ^,

Abstract
HTML
Reference
Related

PDF

Abstract：
The experimental rotational spectra of the deformed nuclei available in even-even and odd-A nuclei in the rare-earth and actinide regions are systematically analyzed with several rotational spectra formulas, including Bohr-Mottelson's I(I+1)-expansion, Harris' ω²-expansion, ab and abc formulas. It is shown that the simple 2-parameter ab formula is much better than the widely used 2-parameter Bohr-Mottelson's AB formula and Harris'αβ formula. The available data of the rotational spectra of both ground-state band in even-even nuclei and one-quasiparticle band in odd-A nuclei can be conveniently and rather accurately reproduced by ab formula and abc formula. The moment of inertia and the variation with rotational frequency of angular momentum can be satisfactorily reproduced by ab and abc formulas.

References

[1]

. Bohr A, Mottelson B R. Nuclear Structure, Vol. II: Nuclear Deformations. New York: Benjamin, 19752. Harris S X. Phys. Rev. Lett., 1964, 13: 663; Phys. Rev.,1965, 138: B5093. Seathre S A et al. Nucl. Phys. A, 1973, 207: 4864. Klein A, Dreizler R M, Das T K. Phys. Lett. B, 1970, 31:3335. Scharff-Goldhaber G, Dove C, Goodman A L. Ann. Rev.Nucl. Sci., 1976, 26: 2396. Holmberg P, Lipas P O. Nucl. Phys. A, 1967, 117: 5527. WU C S, ZENG J Y. HEP NP, 1984, 8: 219, 445; 1985,9: 77, 214 (in Chinese)8. WU C S, ZENG J Y. Commu. Theor. Phys., 1987, 8: 519. Bohr A. Dan. Mat. Fys. Medd., 1952, 26: 1410. Bohr A, Mottelson B R. Dan. Mat. Fys. Medd., 1953, 27:1611. HUANG H X, WU C S, ZENG J Y. Phys. Rev. C, 1989,39: 161712. Stephens F S, Simon R S. Nucl. Phys. A, 1972, 183: 25713. XU F X, WU C S, ZENG J Y. Phys. Rev. C, 1989, 40:233714. Mottelson B R. Proceedings of the Nuclear Structure Symposium of the Thousand Lakes. Nordisk Institut for Theoretisk Atomfysik, Nordita, Report no. 417. 197015. PIN J L, WU C L, FENG D H. Phys. Rev. C, 1991, 43:222416. ZENG Jin-Yan, SUN Hong-Zhou. Theory of Nuclear Structure. Shanghai: Science and Technique Publisher of Shanghai, 1987 (in Chinese)17. ZENG J Y, CHENG T S. Nucl. Phys. A, 1983, 405: 1

[1]	Rashmirekha Swain , S. K. Patra , B. B. Sahu . Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model. Chinese Physics C, 2018, 42(8): 084102. doi: 10.1088/1674-1137/42/8/084102
[2]	Jian Liu , Jinjuan Zhang , Chang Xu , Zhongzhou Ren . Nuclear longitudinal form factors for axially deformed charge distributions expanded by nonorthogonal basis functions. Chinese Physics C, 2017, 41(5): 054101. doi: 10.1088/1674-1137/41/5/054101
[3]	H. Hassanabadi , A. A. Rajabi , H. Rahimov , S. Zarrinkamar . Investigation of deformed nuclei with a new potential combination. Chinese Physics C, 2013, 37(11): 114102. doi: 10.1088/1674-1137/37/11/114102
[4]	WANG Jian-Guo , ZHU Sheng-Jiang , DING Huai-Bo , XU Qiang , GU Long , YANG Yun-Yi . Observation of a new rotational band in ¹⁰⁴Nb nucleus. Chinese Physics C, 2009, 33(S1): 158-160. doi: 10.1088/1674-1137/33/S1/050
[5]	YAO Jiang-Ming , MENG Jie , Pena Arteaga , Ring Peter . Restoration of rotational symmetry in deformed relativistic mean-field theory. Chinese Physics C, 2009, 33(S1): 21-23. doi: 10.1088/1674-1137/33/S1/007
[6]	JIN Hua , SUN Zhen-Wu , ZHENG Ren-Rong . Influence of angular momentum in axially symmetric potentials with octupole deformation. Chinese Physics C, 2009, 33(9): 759-763. doi: 10.1088/1674-1137/33/9/009
[7]	CHEN Yong-Jing , CHEN Yong-Shou , GAO Zao-Chun , ZHU Sheng-Jiang . Theoretical description of octupole deformed band in neutron-rich even-even Ba isotopes. Chinese Physics C, 2008, 32(S2): 158-161.
[8]	SHEN Shui-Fa , HUANG Ya-Wei , ZHENG Shi-Jie , XU Fu-Rong . Rotational to vibrational evolution in some rotational-like nuclei. Chinese Physics C, 2008, 32(S2): 146-149.
[9]	LIU Shu-Xin , LEI Yi-An , ZENG Jin-Yan . Review and Comparison of Some Common Used Rotational Spectrum Formulas. Chinese Physics C, 2006, 30(S2): 45-47.
[10]	Zhang Yuhu , Zhao Qingzhong , Zhou Xiaohong , Xu Hushan , Guo Yingxiang , Lei Xiangguo , Lu Jun , Zhu Shaofei , Gou Quanbu , Jin Hanjuan , Liu Zhong , Luo Yixiao , Sun Xiangfa , Zhu Yongtai . Rotational Band Structure in Doubly Odd ¹⁷⁰Ta. Chinese Physics C, 1997, 21(S1): 433-436.
[11]	Li Junqing . Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(S4): 33-40.
[12]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd a Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(S2): 197-204.
[13]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Deformed Nuclei. Chinese Physics C, 1995, 19(9): 834-839.
[14]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Nuclei. Chinese Physics C, 1995, 19(S4): 405-411.
[15]	Hao Sanru . A New Symmetric Transformation of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(S2): 111-116.
[16]	Dai Guangxi . The Shape and Potential of Hot Nuclei in Symmetric Ternary Fission. Chinese Physics C, 1992, 16(S3): 305-311.
[17]	Xing Zheng , Wu Xingju . Rotational Effect on Electromagnetic Transitions After Band-Crossing. Chinese Physics C, 1991, 15(S1): 93-100.
[18]	Xing Zheng , Chen Zingqu . Rotational Effect on Electromagnetic Transitions in Nuclei. Chinese Physics C, 1989, 13(S2): 213-219.
[19]	HUANG Hai-Xin , LIN Xin-Wei , ZENG Jin-Yan . COMPARISON BETWEEN HARRIS AND WU-ZENG'S FORMULAS FOR ROTATIONAL SPECTRA OF DEFORMED NUCLEI. Chinese Physics C, 1989, 13(8): 744-751.
[20]	Hou Boyu , Li Wei . New Infinite Symmetries in the Stationary, Axially Symmetric Einstein-Maxwell Fields. Chinese Physics C, 1988, 12(S1): 69-76.

Access

Get Citation

WU Xi and LEI Yi-An. Comparison between formulas of rotational band for axially symmetric deformed nuclei[J]. Chinese Physics C, 2008, 32(2): 112-119. doi: 10.1088/1674-1137/32/2/008

WU Xi and LEI Yi-An. Comparison between formulas of rotational band for axially symmetric deformed nuclei[J]. Chinese Physics C, 2008, 32(2): 112-119. doi: 10.1088/1674-1137/32/2/008 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-04-23
Revised: 2007-05-01

Article Metric

Article Views(2961)
PDF Downloads(705)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Comparison between formulas of rotational band for axially symmetric deformed nuclei

Corresponding author: LEI Yi-An,

Received Date: 2007-04-23

Accepted Date: 2007-05-01

Available Online: 2008-02-05

Abstract: The experimental rotational spectra of the deformed nuclei available in even-even and odd-A nuclei in the rare-earth and actinide regions are systematically analyzed with several rotational spectra formulas, including Bohr-Mottelson's I(I+1)-expansion, Harris' ω²-expansion, ab and abc formulas. It is shown that the simple 2-parameter ab formula is much better than the widely used 2-parameter Bohr-Mottelson's AB formula and Harris'αβ formula. The available data of the rotational spectra of both ground-state band in even-even nuclei and one-quasiparticle band in odd-A nuclei can be conveniently and rather accurately reproduced by ab formula and abc formula. The moment of inertia and the variation with rotational frequency of angular momentum can be satisfactorily reproduced by ab and abc formulas.

HTML

Reference (1)

Comparison between formulas of rotational band for axially symmetric deformed nuclei

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article