COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND

WU ChONG-Shi; ZENG Jin-Yan

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(1) : 77-88

COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND

WU ChONG-Shi ^, ,
ZENG Jin-Yan

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Abstract：
The expansions of the excitation energy of the ground band in even-even deformed nucleus are discussed in the framework of our expression deduced in the previous papers. The conventional I(I+1)-expansion which is applicable to the region of low angular momenta is obtained and its radius of convergence is estimated. It can be proved that the ω₁-expansion is always convergent and hence the empirical fact that the ω_I-expansion converges better than the I(I+1)-expansion is explained satisfactorily.

References

[1]

A. Bohr and B. R. Mottelson,Nuclear Stucture, vol. II (Benjamin, New York, 1975).[2] S. M. Harris, Phys. Rev. Lett, 13(1964), 663; Phys Rev., 138 (1965 ) , B509.[3] B. R. MotteIson, Proc. Intern. Conf. on High Spin Phenomena in Nuclei, Argonne, 1979, ANL/PHY-79-4, p. 1.[4] φ. Saethre,S.A.Hjorth, A. Johnson, S. Jagars, H. Ryde and Z. Szymanski, Nucl. Phys., A207(1973 ) , 486.[5] 昊崇试、曾谨言, 高能物理与核物理, 将发表.[6] 吴崇试、曾谨言, 高能物理与核物理, 将发表.[7] R. Bengtsson and S. Frauendorf, Nucl. Phys., A327 (1979 ) , 139.[8] 吴崇试、曾谨言, 未发表.[9] L. R. Greenwood, Nuclear Data Sheets, 11(1974 ) , 385.[10] M. R. Schmorak and R. L.Auble, Nuclear Data Sheets, 15(1975), 371.[11] L. R. Greenwood, Nuclear Data Sheets, 15(1975), 497. P. M. Walker, G. D. Dramulis, A. Johatson and J. R. Leigh, Nucl. Phys., A293(1977 ), 481[12] M. M. Minor, Nuclear Data Sheets, 10(1973), 515.[13] D. J. Horen and B. Harmatz, Nuclear Data Sheets, 19 (1976 ) ,383.[14] L. R. Gteenwood, Nuclear Data Sheets, 13(1974), 549. T. L. Khoo and G. Lvhiden, Phys. Lett., 67B (1977), 271.[15] L. R. Greenwood, Nuclear Data Sheets, 15(1975), 559.

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WU ChONG-Shi and ZENG Jin-Yan. COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND[J]. Chinese Physics C, 1985, 9(1): 77-88.

WU ChONG-Shi and ZENG Jin-Yan. COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND[J]. Chinese Physics C, 1985, 9(1): 77-88. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅲ.——VARIOUS EXPANSIONS OF EXCITATION ENERGY OF GROUND BAND

WU ChONG-Shi ^,
ZENG Jin-Yan

Corresponding author: WU ChONG-Shi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-02-05

Abstract: The expansions of the excitation energy of the ground band in even-even deformed nucleus are discussed in the framework of our expression deduced in the previous papers. The conventional I(I+1)-expansion which is applicable to the region of low angular momenta is obtained and its radius of convergence is estimated. It can be proved that the ω₁-expansion is always convergent and hence the empirical fact that the ω_I-expansion converges better than the I(I+1)-expansion is explained satisfactorily.