q-Deformation of Three-Parameter Wu-Zeng Formula

Pan Feng; Luo Yanan; Yu Shenqi

Chinese Physics C> 1998, Vol. 22> Issue(1) : 61-70

q-Deformation of Three-Parameter Wu-Zeng Formula

Department of Physics, Liaoning Normal University, Dalian 116029

Abstract
HTML
Reference
Related

PDF

Abstract：
q-deformed form of the three-parameter Wu-Zeng formula for the description of ground state bands of even-even nuclei is analyzed by taking perturbation theory into consideration. Ground state bands of the most even-even rare-earth and actinide nuclei are fitted using the damped non-linear least square fit. The results show that q-deformed three-parameter Wu-Zeng formula is more accurate than the former three-parameter Wu-Zeng formula derived from the perturbation theory. Furthermore, the new formula describes backbending phenomena much better than the previous one.

References

[1]

A. Bohr, B. R Mottelson. Nulcear Structure, Vol. 2. Benjamin, new York, 1975[2] S. M. Hams. Phys. Rev. Lett., 1964, 13:663; Phys. Rev., 1965, B138:509[3] C. S. Wu, J. Y. Zeng. Commun. Theor. Phys., 1987, 8:51[4] H. X. Huang, C. S. Wu, J. Y. Zeng. Phys. Rev., 1989, C39: 1617[5] P. P. Raychev, R P. Roussev, Yu F. Smimov. J. Phys., 1990, G16: 137[6] S. Iwao, Prog. Theor. Phys., 1990, 83:363[7] Meng Jie et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1992, 16:90(孟杰. 高能物理与核物理，1996,16:90)[8] R Barbier, J. Meyer, M. Kibler. J. Phys., 1994, G20:13[9] Zhang Xinming, Zhou Huanqiang. High Energy Phys. and Nucl. Phys. (in Chinese), 1996, 20: 165(张新明，周焕强. 高能物理与核物理，1996,20:165)[10] H. Z. Huang, C. S. Wu, J. Y. Zeng. Phys. Rev., 1986, C39:1617[11] F. X. Xu et al. Phys. Rev., 1989, C40:2337[12] Xu Fuxin, Xu N. High Energy Phys. and Nucl. Phys. (in Chinese), 1993, 17:1040(徐辅新, 徐霓. 高能物理与核物理1993,17: 1040)[13] Feng Pan. J. Math. Phys., 1994, 35:5065[14] Xi Shaolin. Nonlinear Opthisation. Beijing: Higher Education Press, 1992[15] Liao Jizhi. Modem Nuclear Model. Chongqing: Sichuan Univ. Press, 1989[16] M. R Schrncrak. Nucl. Data Sheets, 1989, 57:550[17] M. J. Martin. Nucl. Data Sheets, 1986, 49:262;792[18] E. N. Shurshikov et al. Nucl. Data Sheets, 1985, 45: 529[19] E. N. Shurshikov, N. V. Timcfeeva. Nucl. Data Sheets, 1990, 59:955[20] E. N. Shurshikov. Nucl. Data Sheets, 1988, 53:314;654;695[21] M: R Schmcrak. Nucl. Data Sheets, 1991, 63: 156; 171; 199;220[22] Y. A. Akovali. Nucl. Data Sheets, 1994, 71:198[23] Y. A. Akovali. Nucl. Data Sheets, 1993, 69: 168; 198; 589; 643[24] N. V. Timcfeeva, E. N. Shmhikov. Nucl. Data Sheets, 1992, 65:115;338;403;421[25] C. W. Reich. Nucl. Data Sheets, 1993, 68:453[26] M. A. Lee. Nucl. Data Sheets, 1989, 56:266[27] Zhou Chun Mei. Nucl. Data Sheets, 1987, 50: 397;428[28] R G. Reimei. Nucl. Data Sheets, 1991, 64: 182; 123[29] E. Browne. Nucl. Data Sheets, 1990, 60:261;284[30] Wang Gong Qing. Nucl. Data Sheets, 1989, 61:606;659[31] E. N. Shmhikov, N. V. Timcfeeva. Nucl. Data Sheets, 1992, 67:104[32] E. Browne. Nucl. Data Sheets, 1991, 62:34;70[33] E. Browne. Nucl. Data Sheets, 1988, 54:242

[1]	A. Plastino , M. C. Rocca . Tsallis' quantum q-fields. Chinese Physics C, 2018, 42(5): 053102. doi: 10.1088/1674-1137/42/5/053102
[2]	ZHANG Hui-Hui , ZHOU Xiao-Guang . Antibunching Properties of q-Deformed Coherent Light Field Interacting with a Cascade Three-Level Atom. Chinese Physics C, 2007, 31(4): 337-340.
[3]	LIU Yi-Lei , WANG Guang-Wei , WANG Fang . I/Q Methods Applied to Phase Detection of RF Signals. Chinese Physics C, 2006, 30(8): 780-783.
[4]	MO Xiao-Hu . Correlation in Estimation of the Q Value. Chinese Physics C, 2005, 29(9): 831-837.
[5]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Q²-Rescaling Parameters’Empiric Formula of the Double Q²-Rescaling Model. Chinese Physics C, 2001, 25(6): 533-537.
[6]	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.
[7]	FANG XiangZheng , RUAN TuNan . Description of Superdeformed Bands in ¹⁴⁸Gd in q-deformed Moment of Inertia. Chinese Physics C, 2000, 24(3): 269-274.
[8]	FANG XiangZheng , LI XianYin , RUAN TuNan . Description of the Superdeformed Bands in A～190 Region with a Three-Parameter Formula. Chinese Physics C, 2000, 24(4): 312-319.
[9]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[10]	Xie Wenfang . Q-Effect of Structures of 3-Particle Systems. Chinese Physics C, 1997, 21(5): 465-469.
[11]	Dai Qirun , Ma Zhanqing , Zhao Shusong , . Fermi-Dirac Correlation and Q^－v)K_v(Q) Distribution. Chinese Physics C, 1996, 20(11): 1014-1020.
[12]	Yu Zhaoxian , Yu Ge , Zhang Dexing , Liu Yehou . Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s). Chinese Physics C, 1996, 20(12): 1082-1086.
[13]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd A Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(6): 538-545.
[14]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[15]	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.
[16]	HU Zhan-Ning . The q-Deformed KdV Equation. Chinese Physics C, 1991, 15(8): 765-768.
[17]	CHENG Hong-Bo . Gauged Q-stars. Chinese Physics C, 1991, 15(11): 991-996.
[18]	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.
[19]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE BEHAVIOURS OF F₂^ep(X, Q²)-F₂^en(X, Q²) AND THE SCALE-BREAKING PARAMETER. Chinese Physics C, 1983, 7(3): 301-308.
[20]	HUANG CHAO-SHANG , DAI YUAN-BEN . THE PROCESS e⁺+e^-→π+q+q IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1981, 5(4): 412-416.

Access

Get Citation

Pan Feng, Luo Yanan and Yu Shenqi. q-Deformation of Three-Parameter Wu-Zeng Formula[J]. Chinese Physics C, 1998, 22(1): 61-70.

Pan Feng, Luo Yanan and Yu Shenqi. q-Deformation of Three-Parameter Wu-Zeng Formula[J]. Chinese Physics C, 1998, 22(1): 61-70. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2779)
PDF Downloads(556)
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

q-Deformation of Three-Parameter Wu-Zeng Formula

Corresponding author: Pan Feng,

Department of Physics, Liaoning Normal University, Dalian 116029

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1998-01-05

Abstract: q-deformed form of the three-parameter Wu-Zeng formula for the description of ground state bands of even-even nuclei is analyzed by taking perturbation theory into consideration. Ground state bands of the most even-even rare-earth and actinide nuclei are fitted using the damped non-linear least square fit. The results show that q-deformed three-parameter Wu-Zeng formula is more accurate than the former three-parameter Wu-Zeng formula derived from the perturbation theory. Furthermore, the new formula describes backbending phenomena much better than the previous one.

HTML

Reference (1)

q-Deformation of Three-Parameter Wu-Zeng Formula

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article