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

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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

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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

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

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通讯作者: 陈斌, [email protected]

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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.

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q-Deformation of Three-Parameter Wu-Zeng Formula

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