SU<SUB>q</SUB>(2) Analysis of Nuclear Rotational Spectra

MENG Jie; WU Chong-Shi; ZENG Jin-Yan

Chinese Physics C> 1992, Vol. 16> Issue(1) : 90-96

SU_q(2) Analysis of Nuclear Rotational Spectra

Department of Physics,Peking University,Beijing 100871

Abstract
HTML
Reference
Related

PDF

Abstract：
The validity of the quantum group SU_q(2) expression for the nuclear rotational spectrum is investigated thoroughly.Analyses (including the Mallmann plots,the relations for the I(I+1) expansion coefficients,energy spectra,etc.)definitely display a systematical deviation of the SU_q(2) prediction from the experimental data available for the even-even rare-earth and actinide nuclei.Only within a limited range of angular momentum the SU_q(2) expression is suitable for rotational spectra.A significant angular momentum dependence of q-deformation parameter is found.The q-deformation is derectly related to the nuclear softness.

References

[1]

L. D. Faddeev, in: Les Houches Lectures, (1982).[2] W. G. Drinfeld, Quantum Groups Proc. ICM (Berkeley, 1986), p. 798[3] M. Jimbo, Lett. Math. Phys., 10(1985), 63.[4] L. G. Biedenharn,J. Phys.,A22(1989), L873.A.J.Macfarlane,J.Phys., A22(1989),4581.C. P. Sun and H. C. Hu, J.Phys., A22(1989), L983.Y.J.Ng, J. Phys., A23(1990). 1023.[5] X. C. Song, J. Phys., A23(1990), L821.B. Y. Hou, B. Y. Hou and Z. Q. Ma, Common: Theor. Phys. (Beijing), 13(1990), 181.[6] P. P. Raychev, R. P. Roussev, and Yu. F. Smirnov, J. Phys. G, to be Published.[7] Dennis Bonatsos, E. N. Argyres. S. B. Drenska, P. P. Raychev, R. P. Roussev, and Yu. F. Smirnov, Phys.Lett., B251(1990), 477.[8] C.L. Mallmann, Phys. Rev. Lett, 2(1959), 507.[9] M.A. J. Mariscotti, G. Scharff-Goldhaber, and B. Buck,Phys. Rev., 178(1969), 1864.G. Scharff-Goldhaber, C. Dover, and A. L. Goodman,Ann. Rev. Nucl. Sci., 26(1976), 239.[10] J. L. Wood and R. W. Fink, Nucl. Phys., A224 (1974), 589.[11] A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. II, Nuclear Deformations. Beniamin, New York(1975).[12] S. M.Harris, Phys,Rev. Lett., 13(1964), 663; Phys. Rev., B138(1965),589[13] C. S.Wu and J. Y.Zeng, Commun. Theor,Phys. (Beijing), 8(1987), 51.H .X. Huang, C. S.Wu, and J. Y. Zeng,Phys. Rev., C39{1989), 1617.[14] F. X. Xu, C. S, Wu, and J. Y. Zeng; Phys. Rev., C40(1989), 2337.[15] B. R. Mottelson. Proc. Nuclear Structure Symposium of Thousand Lakes, Joutsa, 1970. Nordisk Institut for Theoretisk Atomfysik, Nordita, Report No. 417.[16] R. Bengtsson and S. Frauendorf, Nucl. Phys., A327(1979), 139.[17] M. J. de Voigt, J. Dudek, and Z. Szymahski, Rev. Mod. Phys., 55(1983), 949.

[1]	ZHOU Chun-Lan , ZHANG Tian-Bao , MA Chuang-Xing , ZHANG Zhi-Ming , CAO Xing-Zhong , WANG Bao-Yi , WEI Long . The Analysis of 3γ/2γ in the Measurement of Positron Annihilation Doppler-broadening Spectroscopy. Chinese Physics C, 2006, 30(1): 84-87.
[2]	WANG Hua-Lei , ZHANG Yu-Hu , ZHOU Xiao-Hong , GUO Ying-Xiang , LEI Xiang-Guo , LIU Min-Liang , TUO Peng , XIE Cheng-Ying , SONG Li-Tao , YU Hai-Ping , ZHENG Yong , GUO Wen-Tao , , , , . Observation of πh_11/2⊙νi_13/2 Band in Doubly-Odd ¹⁷⁰Re and Its Systematic Analysis. Chinese Physics C, 2004, 28(S1): 47-49.
[3]	ZHANG Xin-Ming , ZHOU Huan-Qiang . Study for Superdeformed Bands in A～190 Region with Quantum Group U_qp(u₂) Model. Chinese Physics C, 2002, 26(8): 843-850.
[4]	SHI Kang-Jie , FAN Heng , YUE Rui-Hong , ZHAO Shao-You , HOU Bo-Yu . Coefficient Algebra of the Minimal Representation of the Elliptic Quantum Group. Chinese Physics C, 2001, 25(7): 628-635.
[5]	GUO JianYou , XU FuXin , RUAN TuNan . Description of Staggering Phenomenon of the Superdeformed Bands in SU_q(2) Symmetry. Chinese Physics C, 2000, 24(2): 181-184.
[6]	Zhang xinming , Zhou Huanqiang , He Jinsong . Theoretical Analysis of an U_qp(u₂) Model for the Congruent Superdeformed rotational Bands. Chinese Physics C, 1998, 22(9): 803-811.
[7]	Zhang Xinming , Zhou Huanqiang . Theoretical Analysis of an U_qp(u₂) Model for Ground-State Bands in Even-Even Nuclei. Chinese Physics C, 1996, 20(2): 165-174.
[8]	Ni Zhixiang , Ma Tao . The Quantum Cosmology of 4+2D Dimensional Einstein Maxwell Theory. Chinese Physics C, 1994, 18(10): 911-918.
[9]	SHEN Kun , QIU Zhong-Ping . Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[10]	WU Ke , GUO Han-Ying , ZHANG Ren-Jie . Quantum Double and Quantum Double Pair——A Relation Between Quantum Algebras and Quantum Groups. Chinese Physics C, 1993, 17(3): 262-267.
[11]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[12]	WU Ke , GUO Han-Ying . Quantum Tensor Double and Realization of Quantum Groups. Chinese Physics C, 1993, 17(9): 796-802.
[13]	FU Hong-Chen , GE Mo-Lin . Verma Module of Quantum Group GL(3)_q Its q-Boson Realization and Cyclic Representations. Chinese Physics C, 1992, 16(10): 912-918.
[14]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.
[15]	ZHAO Xiao-Feng , LI Xian-Yin . Microscopic IBM-2 Description of the Phase Transition of Nuclear Spectra Near A=130. Chinese Physics C, 1991, 15(3): 240-244.
[16]	WANG Shu-Nuan . THEORETICAL ANALYSIS ON ⁵²Cr(d,2n)⁵²Mn^g,m. Chinese Physics C, 1990, 14(10): 940-944.
[17]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[18]	HE HAN-XING , ZHUO YI-ZHONG , SA BEN-HAO . QCD PERTURBATION THEORY FOR CONFINED QUARKS AND NUCLEI——(2) THE STRUCTURE OF THE NUCLEON-MESON COUPLING. Chinese Physics C, 1982, 6(2): 231-242.
[19]	GAO YUAN-YI . TO ANALYSE THE PROPERTY SUPERBAND BY USING 2Δ. Chinese Physics C, 1981, 5(4): 508-512.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

MENG Jie, WU Chong-Shi and ZENG Jin-Yan. SU_q(2) Analysis of Nuclear Rotational Spectra[J]. Chinese Physics C, 1992, 16(1): 90-96.

MENG Jie, WU Chong-Shi and ZENG Jin-Yan. SU_q(2) Analysis of Nuclear Rotational Spectra[J]. Chinese Physics C, 1992, 16(1): 90-96. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2594)
PDF Downloads(504)
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

SU_q(2) Analysis of Nuclear Rotational Spectra

Corresponding author: MENG Jie,

Department of Physics,Peking University,Beijing 100871

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1992-01-05

Abstract: The validity of the quantum group SU_q(2) expression for the nuclear rotational spectrum is investigated thoroughly.Analyses (including the Mallmann plots,the relations for the I(I+1) expansion coefficients,energy spectra,etc.)definitely display a systematical deviation of the SU_q(2) prediction from the experimental data available for the even-even rare-earth and actinide nuclei.Only within a limited range of angular momentum the SU_q(2) expression is suitable for rotational spectra.A significant angular momentum dependence of q-deformation parameter is found.The q-deformation is derectly related to the nuclear softness.

HTML

Reference (1)

SU_q(2) Analysis of Nuclear Rotational Spectra

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

SU_q(2) Analysis of Nuclear Rotational Spectra

Corresponding author: MENG Jie,

HTML

目录

SUq(2) Analysis of Nuclear Rotational Spectra

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

SUq(2) Analysis of Nuclear Rotational Spectra

Corresponding author: MENG Jie,

HTML

目录

SU_q(2) Analysis of Nuclear Rotational Spectra

SU_q(2) Analysis of Nuclear Rotational Spectra