Self-Similar Strcture Shell Model

Wang Zhengda; Zhang Xiaodong; Wang Xiaochun; Wang Xiaobin

Chinese Physics C> 1998, Vol. 22> Issue(4) : 333-340

Self-Similar Strcture Shell Model

Institute of Modern Physics, The Chinese Academy of Seiences, Lanzhou 7300002 Department of Modern Physics, Lanzhou University, Lanzhou 7300003 University of Science and Technology of China, Hefei 230026

Abstract
HTML
Reference
Related

PDF

Abstract：
In Order to extend the conventional shell model(SM) calculation with harmonic oscillator bases to halo nuclei, a self-similar, structure shell model(SSM) is proposed. The SSM is achieved by a rescaling of both the Kinetic and potential energy term of the harmonic oscillator and a mean field imitation, so that the single particle orbit in SSM has state (orbit) -dependent frequency. The large r. m. s. radius and the thick neutron skin for halo nuclei as well as the bound state properties of Borromean nuclei such as ⁶He, ¹¹Li and ¹⁴Be can be reproduced.

References

[1]

Anagnostatos G S.in:edit by Yu.E.Penionzbkevich,R.Kalpakiev.Proceedings of the International Conference on Exotic Nuclei.Foros,Crima:1991,104[2]Hoshino T,Sagawa H,Arima A.Nucl.Phys.,1990,A506（2）:27l-292[3]Wang Zhengda,Zhang Xiaodong,Wang Xiaochun et al Z.Phys.,1996,A356（3）:255-258[4]Wang Zhengda,Zhang Xiaodong,Wang Xiaochun et al.Commun.inTheor.Phys.1997,27（1）:49-56;Chin.Phys.Lett,1995,12（l2）:705-708[5]Zhukov M V,Danilin B V,Fedorov D V,et al.Phys.Rep.,1993.231（4）:151-199[6]Zhukov M V,Korshenimikov A A,Smedberg M H Phys.Rev.,1994,C50（1）:R1-R4.[7]Tanihata I,Kobayashi T,Yamakawa O.Phys.Lett,1988,B286（4）:592[8]Kobayashi T,Yamakawa O,Omata K.Phys.Rev.Lett.,1988,68（25）:2599-2602[9]Isao Taniata,Study of Light-Exotic Nuclei Using Radio active Nuclear Beams,Talk Given at the Dutna School-Seminar May,1993;RlKEN-AF-NP-157（June1993）[10]Hansen P G Nucl.Phys.,1993,A553（1）:89c-106c[11]Riisager R,et al.Nucl.Phys.,1992,A540（1,2）:365-382[12]Sven Gosta Nilsson,Binding States of Individual Nucleons in Strongly Deformed Nuclei.Mat.Fys.Medd.Dan.Vid.Selsk.29,no.16（1955）（ed2,1960）.7-12[13]Aage Bohr,Ben R.Mottelson.Nuclear Structure.Benjamin,New York:1975.VolumeⅡ，218-220[14]Zeng Xianghua,Wang Zhengda.Chin.J.Nucl.Phys.,1993.15（4）:352-356

[1]	HU Ze-Hua , SUN Wei-Li , TIAN Dong-Feng , ZHANG Ben-Ai . Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model. Chinese Physics C, 2007, 31(2): 155-161.
[2]	ZHU Sheng-Jiang , LI Ming-Liang , CHE Xing-Lai , XIAO Shu-Dong , CHEN Yong-Jing , YU Ying-Nan , DING Hui-Bo , XU Qiang , ZHU Li-Hua , WEN Shu-Xian , WU Xiao-Guang , LI Guang-Sheng , . Collective Band Structures of the Nuclei near N=82 Closed Shell in A=135 Region. Chinese Physics C, 2006, 30(S2): 141-145.
[3]	HOU Zhan-Feng , ZHANG Yu , LIU Yu-Xin . Nuclear Shape Phase Transition in the Shell Model. Chinese Physics C, 2006, 30(S2): 48-52.
[4]	GAO Zao-Cun , SUN Yang , CHEN Yong-Shou . Beta Decay Theory in the Projected Shell Model. Chinese Physics C, 2006, 30(S2): 65-67.
[5]	ZHU Jian-Yu , XU Fu-Rong . Coulomb Displacement Energies and Shell Closure. Chinese Physics C, 2006, 30(S2): 84-86.
[6]	ZHANG Jun-Shun , ZHANG Rui-Ping , LUO Yan-An , PAN Feng . SD Pair Shell Model: Influence of Pair Structure on the Collectivity of Low-lying States. Chinese Physics C, 2006, 30(8): 755-758.
[7]	YE Wei . Dependence of Isospin Effects of Particle Evaporation on the Nuclear Shell Structure. Chinese Physics C, 2005, 29(3): 268-272.
[8]	WANG Rui-Ping , WANG Shun-Jin , ZHANG Guang-Biao . Structure Analyses of the Nuclear Shell Model to the High-Spin States of 143Pm. Chinese Physics C, 2005, 29(6): 570-576.
[9]	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.
[10]	LIU Min-Liang , ZHANG Yu-Hu , ZHOU Xiao-Hong , GUO Ying-Xiang , LIU Zhong , LEI Xiang-Guo , HE Jian-Jun , ZHENG Yong , ZHU Li-Hua , WEN Shu-Xian . Empirical Shell Model and High-Spin Level Structure of Near-spherical Nucleus ¹⁴²Pm. Chinese Physics C, 2004, 28(S1): 62-65.
[11]	ZHOU Xian-Rong , GUO Lu , MENG Jie , ZHAO En-Guang . Spectral Statistics in Particles-Rotor Model and Cranking Model. Chinese Physics C, 2002, 26(11): 1125-1133.
[12]	Zhao Yumin , Chen Jinquan . Nuclear Pair Shell Model and Its Numerical Calculation (Ⅱ). Chinese Physics C, 1997, 21(5): 438-444.
[13]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd A Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(6): 538-545.
[14]	Zhang Changhua , Gu Jinnan . Shell Model Calculations for Light Neutron-Rich Nuclei. Chinese Physics C, 1996, 20(3): 240-245.
[15]	MA Zhong-Qi , HOU Bo-Yuan , HOU Bo-Yu . XXZ Model and the Structure of the Symmetric Algebra. Chinese Physics C, 1991, 15(9): 812-821.
[16]	PENG Jian-Ping , WU Chong-Shi , ZENG Jin-Yan . ON THE VALIDITY OF THE CHFB METHOD FOR TREATING THE CSM HAMILTONIAN. Chinese Physics C, 1989, 13(4): 362-369.
[17]	LIN Chun-Zhen , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CARNKED SHELL MODEL WAVE FUNCTION (Ⅰ) EVEN-EVEN NUCLEI. Chinese Physics C, 1988, 12(5): 689-696.
[18]	LIN Xin-Wei , LIAO Bo-Qin , TANG Xiang-Hong , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CRANKED SHELL MODEL WAVE FUNCTION (Ⅱ) ODD-A NUCLEI. Chinese Physics C, 1988, 12(6): 807-813.
[19]	ZENG Xin-Chuan , HU Shi-Ke . THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL. Chinese Physics C, 1987, 11(4): 469-475.
[20]	Zheng Yu-ming , Lu Zhao-qi , Chen Yong-shou . THE FOLDING POTENTIAL OF THE DOUBLE WELL-CLUSTER SHELL MODEL. Chinese Physics C, 1980, 4(1): 109-112.

Access

Get Citation

Wang Zhengda, Zhang Xiaodong, Wang Xiaochun and Wang Xiaobin. Self-Similar Strcture Shell Model[J]. Chinese Physics C, 1998, 22(4): 333-340.

Wang Zhengda, Zhang Xiaodong, Wang Xiaochun and Wang Xiaobin. Self-Similar Strcture Shell Model[J]. Chinese Physics C, 1998, 22(4): 333-340. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2560)
PDF Downloads(568)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Self-Similar Strcture Shell Model

Corresponding author: Wang Zhengda,

Institute of Modern Physics, The Chinese Academy of Seiences, Lanzhou 7300002 Department of Modern Physics, Lanzhou University, Lanzhou 7300003 University of Science and Technology of China, Hefei 230026

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1998-04-05

Abstract: In Order to extend the conventional shell model(SM) calculation with harmonic oscillator bases to halo nuclei, a self-similar, structure shell model(SSM) is proposed. The SSM is achieved by a rescaling of both the Kinetic and potential energy term of the harmonic oscillator and a mean field imitation, so that the single particle orbit in SSM has state (orbit) -dependent frequency. The large r. m. s. radius and the thick neutron skin for halo nuclei as well as the bound state properties of Borromean nuclei such as ⁶He, ¹¹Li and ¹⁴Be can be reproduced.

HTML

Reference (1)

Self-Similar Strcture Shell Model

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article