INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1<SUP>+ </SUP>AND 3<SUP>+</SUP> BANDS IN THE ROTATIONAL RIGION

ZENG Jia-Gang; LIAO Ji-Zhi

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(3) : 409-418

INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION

ZENG Jia-Gang ^, ,
LIAO Ji-Zhi

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Abstract：
On the bases of s, d IBM, octupole states are taken into account and the two-quasiparticle excitation is treated as boson-like in the SU(3) limit. The energy spectra are obtained analytically and the nondegenerated 1⁺ and 3⁺ bands are also reproduced. The calculated spectra of eight nuclei, which possess with 1⁺ or 3⁺ bands in their energy spectra in the rotational rigion, agree with the experimental ones fairly good.

References

[1]

A. Arima and F. Iachello, Ann,Phys., 111(1978), 201.[2] D. D. Warner and R. F. Casten, Phys. Rev, 024(1981), 1713[3] R. D. Ratna Raju, Phys. Rev., 023(1981), 518.[4] 凌寅生, 高能物理与核物理, 6(1982), 77. 顾金南等, 高能物理与核物理, 6(1982).453.廖继志, 高能物理与核物理, 10(1986), 486.[5] Wu Hua-Chuan, Phys. Lett., 110B(1982), 1.[6] Yoshimi Akiyama, Nucl. Phys., A433(1985), 369.[7] A. Arima and F. lachello, Ann. Phys., 99(1976), 253.[8] 钱诚德, 原子核物理, 7(1985), 38.[9] D. J. Horen, Nucl. Data Sheets, 19(1976), 383.[10] J. K. Tuli, Nucl. Data Sheets, 12(1974),477.[11] A. Buvrn, Nucl. Data Sheets. 17(1976). 97.[12] L. R. Greenwood Nucl. Data Sheetr, 11(1974), 365.[13] L. R. Greenwood, Nucl. Data Sheets,15(1975), 497.[14] Y. A. Ellis. Nucl. Data Sheets, 21(1977), 493.[15] M. R. Schmorak, Nucl. Data Sheets, 17(1976), 391.[16] 廖继志, 高能物理与核物理, 10(1986), 374.[17] 钱诚德, 原子核物理, 4(1982), 223.[18] 吴华川, 高能物理与核物理, 6(1982), 601.

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[2]	ZHANG Yu , HOU Zhan-Feng , LIU Yu-Xin . Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model. Chinese Physics C, 2006, 30(S2): 90-93.
[3]	LUO Yan-An , PAN Feng , NING Ping-Zhi , Jerry P . SD-Pair Shell Model and Proton-Neutron Interacting Boson Model. Chinese Physics C, 2004, 28(S1): 87-89.
[4]	XU Yan-Bing . Influence of 1h_11/2 Orbit on the Shapes of Even Even Nuclei Around A～100 Region. Chinese Physics C, 2004, 28(6): 601-606.
[5]	FAN Ti-Gui , LU Li-Jun , ZHANG Jin-Fu . Low-Lying Spectra and Electromagnetic Transition Rates in ^164—182Hf in the Interacting Boson Model. Chinese Physics C, 2004, 28(S1): 119-122.
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[7]	Zhou Huanqiang , Guan Xiwen , He Jingsong . A Two-Parameter Deformed Two-Dimensional Interacting Boson Model With U_qp(U₃)U_qp(U₂)U_qp(SO₂) Symmetry. Chinese Physics C, 1996, 20(1): 38-44.
[8]	DENG Wei-Zhen , YANG Ze-Sen , WANG Yu-Cheng . A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model. Chinese Physics C, 1993, 17(10): 907-911.
[9]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[10]	DAI Zi-Gao , FU De-Ji , LIANG Shi-Dong , XU Gong-Ou . The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances. Chinese Physics C, 1991, 15(6): 569-576.
[11]	LONG Gui-Lu , SUN Hong-Zhou . GROUP CHAIN CHECK ON THE PROTON-NEUTRON INTERACTING BOSON MODEL COMPUTER CODE NPBOS. Chinese Physics C, 1989, 13(9): 849-855.
[12]	LIU Yong , SANG Jian-Ping . THE MOMENT OF INERTIA IN THE INTERACTING BOSON-FERMION MODEL. Chinese Physics C, 1988, 12(5): 644-651.
[13]	TU Chuan-Shi . REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL. Chinese Physics C, 1987, 11(5): 634-643.
[14]	DI Yao-Min . F-SPIN BREAKING IN IBM. Chinese Physics C, 1985, 9(4): 461-466.
[15]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ. Chinese Physics C, 1985, 9(2): 154-160.
[16]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[17]	XU Gong-Ou , YANG Ya-Tian , GU Jin-Nan . COMPARISON BETWEEN THE BOHR-MOTTELSON MODEL AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1984, 8(3): 352-360.
[18]	LIU YONG , TIAN XIAO-CEN , YANG TSE-SEN . A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_1/2)¹² BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL. Chinese Physics C, 1983, 7(6): 724-734.
[19]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.
[20]	WU RUA-CHUAN . INTERACTING BOSON MODEL FOR ROTATIONAL STATES OF NEGATIVE PARITY. Chinese Physics C, 1982, 6(5): 601-608.

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ZENG Jia-Gang and LIAO Ji-Zhi. INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION[J]. Chinese Physics C, 1987, 11(3): 409-418.

ZENG Jia-Gang and LIAO Ji-Zhi. INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION[J]. Chinese Physics C, 1987, 11(3): 409-418. shu

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Received: 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

INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION

ZENG Jia-Gang ^,
LIAO Ji-Zhi

Corresponding author: ZENG Jia-Gang,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-06-05

Abstract: On the bases of s, d IBM, octupole states are taken into account and the two-quasiparticle excitation is treated as boson-like in the SU(3) limit. The energy spectra are obtained analytically and the nondegenerated 1⁺ and 3⁺ bands are also reproduced. The calculated spectra of eight nuclei, which possess with 1⁺ or 3⁺ bands in their energy spectra in the rotational rigion, agree with the experimental ones fairly good.

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INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION

INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION