THE ROTATIONAL THREE-BAND INTERACTION FOR EVEN-EVEN NUCLEI

Gu Jin-nan; Wang Zheng-da

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2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(5) : 652-660

THE ROTATIONAL THREE-BAND INTERACTION FOR EVEN-EVEN NUCLEI

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Abstract：
The interaction of the rotational three-band, the superband, the g band and theβ band (or γ band), for even-even Nuclei is discussed. The Hamiltonian matrix is diagonalized after solving the secular equation bywhich the parameters in the matrix elemen s are determined. The three-band spectrafor more than ten nuclei have been calculated. The calculated results are found to bein resonable agreement with experimental data, and some informations of three-bandmixing are obtained.

References

[1]

A. Molinari, T. Regge. Phys. Lett., 41B(1972), 93.[2] R. A. Broelia et al., Phys. Lett., 57B(1975), 113;Phys. Lett., 50B (1974), 295.[3] Y. EL. Masri, J. Yeawier, Nucl.Phys.,A279 (1977), 223.[4] F. S. Stephens, R. S. Simon, Nucl. Phys., A138 (1972), 257;F. S, Stephens, rev. Mod. Phys.,47 (1975), 43.王正大等,高能物理与核物理,3(1979),348.[5] B. R. Mottelson, J. G. Valatin, Phys. Rev. Lett., 5 (1960), 511.[6] R. O. Sager et al., Atom. Data., and Nucl. Data Table, 15 (1975), 85; M. Sakai, Atom. Data and Nucl. Data. Table,415(1975), 513.[7] O. C. Kiistner et al., Phys. Rev., C17(1978), 1417.[8] N. R. Johnson et al., Phys. Rev. Lett.,40(1978), 151.[9] 顾金南,“数学的实践与认识”,待发表.[10] J. Vervier, Nucl. Spectro and Nucl Reaction with HI (1976), 442[11] T. L. Khoo et al., Phys. Lett., 31(1973), 1146; R. M. Lieder et al, Phys. Lett., 49B(1974).161.[12] L. K. Peker et al., Proe, Int. Conf, on Nucl. Struc.,(Tokyo, 1977), p. 110.[13] R. R. Whitehead, Nucl. Phys, A182(1972), 290; T. Sebe et al., Ann. Phys., 51 (1969), 100[14] A. Neskakia et al., Nucl. Phys., A261 (1976), 189.[15] A. H. Wapatra et al., Atom. Data and Nucl. Data Table, 19 (1977), 175.[16] F.W.De boer et al., Nucl. Phys., A290(1977), 173.[17] F.Kearns of al., Nucl. Phys.,(1977), 109. I. Y. Lee et al., Phys. Real Lett., 37(1976),420.[18] L, K. Peker et al., Proc. of Int. Conf. on Nucl. Struc.,(Tokyo, 1977), p. 397.

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[10]	Wang Huangsheng , Liao Jizhi . Applications of the O(6) Limit of IBM1 with Three-Body Potential to the Even-Even Platinum Nuclei. Chinese Physics C, 1994, 18(1): 91-96.
[11]	XING Zheng , CHEN Xing-Qu . Phenomenological Analysis of Superdeformed Bands in Even-Even Nuclei. Chinese Physics C, 1991, 15(11): 1020-1024.
[12]	ZHANG Jing-Ye , ZHONG Ji-Quan , LIAO Bi-Cheng . ON THE EDFORMATION OF THE EVEN-EVEN RARE-EARTH NUCLEI. Chinese Physics C, 1988, 12(5): 665-668.
[13]	ZENG Jia-Gang , LIAO Ji-Zhi . INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION. Chinese Physics C, 1987, 11(3): 409-418.
[14]	WU Chong-Shi , ZENG Jin-Yan . THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI (Ⅰ) THEORETICAL FORMULATION. Chinese Physics C, 1984, 8(2): 219-226.
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[16]	GU JIN-NAN . A EXPLORATION OF FOUR BAND MIXTURE DESCRIBING THE HIGH SPIN STATES OF EVEN-EVEN NUCLEI. Chinese Physics C, 1982, 6(1): 117-122.
[17]	GU JIN-NAN . THE MULTIBAND MIXING AND THE i(ω). Chinese Physics C, 1981, 5(3): 386-389.
[18]	WU CHONG-SHI , ZENG JIN-YIAN . TWO-NUCLEON TRANSFER REACTIONS ON DEFORMED NUCLEI. Chinese Physics C, 1981, 5(4): 493-502.
[19]	Liao Ji-zhi . THREE BAND INTERSECTION MODEL DESCRIBING THE HIGH SPIN STATES OF EVEN-EVEN NUCLEI. Chinese Physics C, 1980, 4(5): 626-631.
[20]	CHANG JING-YE . ON THE MECHANISM OF BACKBENDING PHENOMENA OF SOME EVEN-EVEN NUCLEI II. Chinese Physics C, 1978, 2(6): 558-561.

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Gu Jin-nan and Wang Zheng-da. THE ROTATIONAL THREE-BAND INTERACTION FOR EVEN-EVEN NUCLEI[J]. Chinese Physics C, 1980, 4(5): 652-660.

Gu Jin-nan and Wang Zheng-da. THE ROTATIONAL THREE-BAND INTERACTION FOR EVEN-EVEN NUCLEI[J]. Chinese Physics C, 1980, 4(5): 652-660. shu

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Received: 1979-07-24
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

THE ROTATIONAL THREE-BAND INTERACTION FOR EVEN-EVEN NUCLEI

Gu Jin-nan
Wang Zheng-da

Received Date: 1979-07-24
Accepted Date: 1900-01-01
Available Online: 1980-10-05

Abstract: The interaction of the rotational three-band, the superband, the g band and theβ band (or γ band), for even-even Nuclei is discussed. The Hamiltonian matrix is diagonalized after solving the secular equation bywhich the parameters in the matrix elemen s are determined. The three-band spectrafor more than ten nuclei have been calculated. The calculated results are found to bein resonable agreement with experimental data, and some informations of three-bandmixing are obtained.