The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances

DAI Zi-Gao; FU De-Ji; LIANG Shi-Dong; XU Gong-Ou

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(6) : 569-576

The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances

Institute of Nuclear Research,Academia Sinica,Shanghai 2018001 Foshan University 5280002 Nanjing University 210008 and Lanzhou University 730001

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Abstract：
By using the Generator Coordinate Method (GCM),the continuous variables representation of IBM (s,p,d) has been derived and discussed in this paper.The calculated splitting of giant dipole resonances (GDR) is close to 3MeV in deformed nuclei.The ratio of dipole strengths to the longitudinal and transverse components is less than 2.

References

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A. Arinta and F. lachello, Ann. Phyr., 111(1978) 201; Ann. iPhys/i., 123(1979), 468.[2] K. Abrahams, K. Allaatt and A. E. L. Diepettnk, "iNucl/iear Structure", (Plenum Publishing Corporaticn,1981) p. 53-89.[3] A. Bohr and B. R. Mottelson, Mat. Fys. Mod. Dan. Vid. Selk, No. 16 (1953), 27.[4] Xu Gongou, Wang Shun-jin and Yang Yi, Pleyr. iRev/i., C36(1987), 2085.[5] R. F. Casten and D, D. Warner, iRev/i. Mod iPhys/i., 60(1988), 389.[6] G. Maino et al., iPhys/i. iRev/i., C30(1984), 2101.[7] G. Maino et al., iPhys/i. iRev/i., C33(1986), 1089.[8] Fu Deji and Xia Kedin, iNucl/i. iPhys/i., A419(2) (1984), 381.[9] Xu Gonaou and Yang Yi, iPhys/i. iRev/i., C41(1990), 1257.[10] 梁世东((1990)戴子高(1990)、哈益明(1989)各自的“硕士学位论文"(上海原子核研究所).[11] W. Creiner et al., "iNucl/iear Models" (London, 1970), p, 127-167, p. 331-285.[12] D. Bonatsos, "Interacting Boson Model of Nuclear Structure" (Clarendon Press Oxford, 1988), p. 164-171.[13] E. Winger, iPhys/i. iRev/i., 40(1932), 749.[14] Xu Gong-ou, Li cal Review C, to Fu-Ii and Fu De-ji, Microscopic. Aspects of the Bohr-Mottelson Model. (accepted by Physcial-be published.)

[1]	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.
[2]	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.
[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]	ZHANG JinFu , PAK JaeYon , LIU FengYing . Low-Lying Spectra and E2 Transition Rates in Even-even Ce Isotopes in the Interacting Boson Model. Chinese Physics C, 2000, 24(11): 1066-1072.
[5]	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.
[6]	DI Yao-Min , HA Yi-Ming , FU De-Ji , XU Gong-Ou . The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation. Chinese Physics C, 1993, 17(6): 559-567.
[7]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[8]	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.
[9]	CAO Jian-Min , WANG Shun-Jin . SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION. Chinese Physics C, 1988, 12(4): 557-567.
[10]	LIU Yong , SANG Jian-Ping . THE MOMENT OF INERTIA IN THE INTERACTING BOSON-FERMION MODEL. Chinese Physics C, 1988, 12(5): 644-651.
[11]	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.
[12]	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.
[13]	WANG Shun-Jin , CAO Jian-Min , XU Gong-Ou . CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL. Chinese Physics C, 1987, 11(1): 111-119.
[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]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.
[19]	WU RUA-CHUAN . INTERACTING BOSON MODEL FOR ROTATIONAL STATES OF NEGATIVE PARITY. Chinese Physics C, 1982, 6(5): 601-608.
[20]	YANG TSE-SEN , LIU YONG , TIAN XIAO-CEN . A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES. Chinese Physics C, 1982, 6(4): 472-479.

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DAI Zi-Gao, FU De-Ji, LIANG Shi-Dong and XU Gong-Ou. The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances[J]. Chinese Physics C, 1991, 15(6): 569-576.

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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

The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances

Corresponding author: DAI Zi-Gao,

Institute of Nuclear Research,Academia Sinica,Shanghai 2018001 Foshan University 5280002 Nanjing University 210008 and Lanzhou University 730001

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-06-05

Abstract: By using the Generator Coordinate Method (GCM),the continuous variables representation of IBM (s,p,d) has been derived and discussed in this paper.The calculated splitting of giant dipole resonances (GDR) is close to 3MeV in deformed nuclei.The ratio of dipole strengths to the longitudinal and transverse components is less than 2.