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 ^,

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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

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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

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

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通讯作者: 陈斌, bchen63@163.com

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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.

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Comparison between formulas of rotational band for axially symmetric deformed nuclei

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