A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula

LI Ming-Liang; XU Fu-Xin

Chinese Physics C> 2003, Vol. 27> Issue(6) : 511-514

A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula

LI Ming-Liang ^, ,
XU Fu-Xin

Department of Physics,Anhui University,Hefei 230039,China

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Abstract：
With the first three terms of Harris formula included and Mottelson's method followed,a new ralation of the parameters of Bohr-Mottelson rotational spectra formula is brought forward. Superdeformed bands of even-even nuclei and normal deformed bands of nuclei in actinide and rare-earth are fitted with four-parameter Bohr-Mottelson rotational spectra formula.The ralations of the parameters A,B,C,D are studied.The result show,for normal deformed bands,the new relation approach the experiment value in the same degree as the relation deduced from ab formula,but for super-deformed bands,the new relation is closer to the experiment than the relation deduced from ab formula.Three-parameter Harris formula may have better convergence than two-parameter Harris formula.

References

[1]

. Bohr A,Mottelson B R.Nuclear Structure,Vol.II,Nuclear Deformations New York:Benjamin,19752. Harris S M.Phys.Rev.Lett.,1964,13:66 3—666;Phys.Rev.,1965,B138:5093. Seathre S A et al.Nucl.Phys.,1973,A207:4864. Mottelson B R.Proceedings of the Nuclear Structure Symposium of the Thousan Lakes,Joutsa,1970 Nordisk Institut for Theoretisk Atomfysik,Nordita,ReportNo.417(unpublished)5. WU C S,ZENG J Y.Commun.in Theor.Phys.,1987,8:51—746. CHEN X Q,XING Z,WANG Y L.High Energy Phys.and Nucl.Phys.,1994,18:256—262(in Chinese)(陈星蕖,邢正,王养丽.高能物理与核物理,1994,18:256—262)7. WU C S.High Energy Phys.and Nucl.Phys.,1998,22:71—77(in Chinese)(吴崇试.高能物理与核物理,1998,22:71—77) 8. WU C S,ZHOU Z N.High Energy Phys.and Nucl.Phys.,1999,23:1209—1215(in Chinese)(吴崇试,周治宁.高能物理与核物理,1999,23:1209—1215)9. XU F X,WU C S,ZENG J Y.Phys.Rev.,1989,C40:2337—2342 10. XU Fu-Xin,LI Ming-Liang,WEN Ya-Yuan.Journal of Anhui Universi ty(Natural Science Edition),2002,26:35—39(in Chinese)(徐辅新,李明亮,温亚媛.安徽大学学报(自然科学版),2002,26:35—39)11. MENG J,WU C S,ZENG J Y.Phys.Rev.,1991,C44:2545—255112. ZHOU Xian-Rong,XU Fu-Xin.Journal of Ningxia University(Natural Science Edition),1998,19:319—320(in Chinese)(周先荣,徐辅新.宁夏大学学报(自然科学版),1998,19:319—320)13. HU Zuo-Xian,ZENG J-Y.High Energy Phys.and Nucl.Phys.,1998,22:446—451(in Chinese)(胡佐贤,曾谨言.高能物理与核物理,1998,22:446—451)14. GUO Jian-You,XU Fu-Xin,RUAN Tu-Nan.High Energy Phys.and Nucl.Phys.,2000,24:829—838(in Chinese)(郭建友,徐辅新,阮图南.高能物理与核物理,2000,24:829—838)

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[6]	ZHANG De-Xing . The Relation between the Quantum Correlation of the Quantum Condensate Object and the Differential Scattering Cross Section. Chinese Physics C, 2003, 27(5): 391-394.
[7]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Empiric Formula of x Rescaling Parameters in the Extended x Rescaling Model. Chinese Physics C, 2002, 26(8): 831-835.
[8]	ZHANG Shuang-Quan , MENG Jie , ZHOU Shan-Gui , ZENG Jin-Yan . A New Formula of Nuclear Charge Radii. Chinese Physics C, 2002, 26(3): 252-258.
[9]	FANG XiangZheng , LI XianYin , RUAN TuNan . Description of the Superdeformed Bands in A～190 Region with a Three-Parameter Formula. Chinese Physics C, 2000, 24(4): 312-319.
[10]	GUO JianYou , XU FuXin , RUAN TuNan . Research on Superdeformed Bands with Bohr-Mottelson's Formulas. Chinese Physics C, 2000, 24(9): 829-838.
[11]	Pan Feng , Luo Yanan , Yu Shenqi . q-Deformation of Three-Parameter Wu-Zeng Formula. Chinese Physics C, 1998, 22(1): 61-70.
[12]	Hu Jimin , Xu Furong , Zheng Chunkai . Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei. Chinese Physics C, 1996, 20(1): 76-84.
[13]	XU Fuxin , XU Ni . A Comprehensive Analysis for Eight Formulas for Rotational Spectra. Chinese Physics C, 1993, 17(11): 1040-1047.
[14]	Bruce H , WU Dan-Di , . Is There a New Parameter in QED. Chinese Physics C, 1991, 15(10): 956-960.
[15]	LIAO Ji-Zhi , PU Xian-An . A NEW EXPRESSION FOR THE ROTATIONAL BANDS OF AN EVEN-EVEN NUCLEUS. Chinese Physics C, 1984, 8(4): 486-490.
[16]	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.
[17]	HU NING . THE SPECTRA OF THE NEW PARTICLES. Chinese Physics C, 1982, 6(1): 44-54.
[18]	Zheng Jin-yan , Cheng Tan-sheng , Yang Fu-jia . FURTHER STUDY ON NUCLEAR MASS FORMULA. Chinese Physics C, 1980, 4(5): 632-639.
[19]	HE ZUO-XIU , HUANG TAO . A NEW APPLICATION OF THE FIELD-CURRENT RELATIONS. Chinese Physics C, 1979, 3(1): 97-101.
[20]	HO TSO-HSIU , HUANG TAO . THE FIELDCURRENT RELATIONS FOR BARYONS AND THE PROCESS p+n→n+K+Λ. Chinese Physics C, 1978, 2(5): 471-475.

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LI Ming-Liang and XU Fu-Xin. A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula[J]. Chinese Physics C, 2003, 27(6): 511-514.

LI Ming-Liang and XU Fu-Xin. A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula[J]. Chinese Physics C, 2003, 27(6): 511-514. shu

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Received: 2002-10-23
Revised: 1900-01-01

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula

Corresponding author: LI Ming-Liang,

Department of Physics,Anhui University,Hefei 230039,China

Received Date: 2002-10-23

Accepted Date: 1900-01-01

Available Online: 2003-06-05

Abstract: With the first three terms of Harris formula included and Mottelson's method followed,a new ralation of the parameters of Bohr-Mottelson rotational spectra formula is brought forward. Superdeformed bands of even-even nuclei and normal deformed bands of nuclei in actinide and rare-earth are fitted with four-parameter Bohr-Mottelson rotational spectra formula.The ralations of the parameters A,B,C,D are studied.The result show,for normal deformed bands,the new relation approach the experiment value in the same degree as the relation deduced from ab formula,but for super-deformed bands,the new relation is closer to the experiment than the relation deduced from ab formula.Three-parameter Harris formula may have better convergence than two-parameter Harris formula.

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A New Relation of Parameters of Bohr-Mottelson Rotational Spectra Formula

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