Exploration of Optimum Shape in Symmetric Fission

Dai Guangxi; Li Weisheng

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(S4) : 399-404

Exploration of Optimum Shape in Symmetric Fission

Dai Guangxi ,
Li Weisheng

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper the large deformation of symmetric fission is described by a biquadratic surface revolution instead of several quadratic equations. Based on the standard liquid model, variation calculation of the deformation energy is performed and thereby, a better shape with a group of coefficients {bi} than the Cassinian ovaloid is obtained. The shape with {bi} has lower deformation energy than that of the Cassinian ovaloid at the same separation distance between C.M. of half bcxiies. The applicability of this so-called shape optimum II with {bi} is examined in the mass range A=208-308. The fission barrier for shape optimum II is lower and thinner than that of the ovaloid, because after the saddle point the potential descends more rapidly. There are significant differences of deformation energy between the shape optimum II and the ovaloid when the neck in the middle appears. The neck cross section of shape optimum II is larger than that of the ovaloid before the scission point is reached, but they are equal or thinner near this point.

[1]	E. V. Mardyban , T. M. Shneidman , E. A. Kolganova , R. V. Jolos , S. -G. Zhou . Analytical description of shape transition in nuclearalternating parity bands. Chinese Physics C, 2018, 42(12): 124104. doi: 10.1088/1674-1137/42/12/124104
[2]	Liu-Chun He , Yun Zheng , Li-Hua Zhu , Hai-Liang Ma , Xiao-Guang Wu , Chuang-Ye He , Guang-Sheng Li , Lie-Lin Wang , Xin Hao , Ying Liu , Xue-Qin Li , Bo Pan , Zhong-Yu Li , Huai-Bo Ding . Collective states and shape competition in ¹²⁶Te. Chinese Physics C, 2017, 41(4): 044003. doi: 10.1088/1674-1137/41/4/044003
[3]	Ya-Juan Tian , Tai-Hua Heng , Zhong-Ming Niu , Quan Liu , Jian-You Guo . Exploration of resonances by using complex momentum representation. Chinese Physics C, 2017, 41(4): 044104. doi: 10.1088/1674-1137/41/4/044104
[4]	Hai-Bo Xu , Na Zheng . Optimum angle-cut of collimator for dense objects in high-energy proton radiography. Chinese Physics C, 2016, 40(2): 028201. doi: 10.1088/1674-1137/40/2/028201
[5]	SHU Neng-Chuan , JIA Min , CHEN Yong-Jing , LIU Ting-Jin . Prompt fission neutron spectra of n+²³⁵U above the (n,nf) fission threshold. Chinese Physics C, 2015, 39(5): 054101. doi: 10.1088/1674-1137/39/5/054101
[6]	BAI Zhi-Jun , FU Xi-Ming , JIAO Chang-Feng , XU Fu-Rong . Shape coexistence and evolution in neutron-deficient krypton isotopes. Chinese Physics C, 2015, 39(9): 094101. doi: 10.1088/1674-1137/39/9/094101
[7]	DONG Jian-Min , ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing . Unified fission model for proton emission. Chinese Physics C, 2010, 34(2): 182-185. doi: 10.1088/1674-1137/34/2/005
[8]	CHEN Zhi-Lin , SONG Guo-Yang , MU Long , WANG He-Yi , XING Shi-Xiong , GUO Hong-Bo , LIAO Zhen-Xing , CHEN Ping , HUA Sheng . Optimum condition of efficiency functions for HPGe γ-ray detectors in the 121-1408 keV energy range. Chinese Physics C, 2010, 34(5): 560-564. doi: 10.1088/1674-1137/34/5/009
[9]	ZHU Jian-Yu , QI Chong , LIU Meng-Xi , CUI Xiao , XU Fu-Rong . Shape transitions in proton-rich Ho and Tm isotopes. Chinese Physics C, 2009, 33(S1): 9-11. doi: 10.1088/1674-1137/33/S1/003
[10]	PING Rong-Gang . On η_c line shape in charmonium transitions. Chinese Physics C, 2009, 33(8): 617-621. doi: 10.1088/1674-1137/33/8/003
[11]	WU Xi , LEI Yi-An . Comparison between formulas of rotational band for axially symmetric deformed nuclei. Chinese Physics C, 2008, 32(2): 112-119. doi: 10.1088/1674-1137/32/2/008
[12]	LIU Ting-Jin , SUN Zheng-Jun , SHU Neng-Chuan . Systematics on fission fragment mass distribution of neutron induced 235U fission. Chinese Physics C, 2008, 32(7): 556-560. doi: 10.1088/1674-1137/32/7/009
[13]	YUAN Shuang-Gui , XU Yan-Bing , DING Hua-Jie , YANG Wei-Fan , NIU Yan-Ning , XIAO Yong-Hou . β-delayed fission of ²²⁸Ac. Chinese Physics C, 2008, 32(S2): 53-55.
[14]	LIU Ying , WU Xiao-Guang , ZHU Li-Hua , LI Guang-Sheng , HE Chuang-Ye , LI Xue-Qin , PAN Bo , HAO Xin , LI Li-Hua , WANG Zhi-Min , LI Zhong-Yu , XU Qiang , WANG Jian-Guo , DING Huai-Bo , ZHAI Jian . Triaxial shape in ¹²⁹Ce. Chinese Physics C, 2008, 32(S2): 141-142.
[15]	ZHENG Shi-Jie , XU Fu-Rong . Shape coexistence of superheavy nuclei. Chinese Physics C, 2008, 32(S2): 152-154.
[16]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Nuclei. Chinese Physics C, 1995, 19(S4): 405-411.
[17]	Hao Sanru . A New Symmetric Transformation of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(S2): 111-116.
[18]	Jin Bingnian , Xu Yadi . Z⁰ Line Shape Fit. Chinese Physics C, 1992, 16(S1): 11-16.
[19]	Dai Guangxi . The Shape and Potential of Hot Nuclei in Symmetric Ternary Fission. Chinese Physics C, 1992, 16(S3): 305-311.
[20]	DAI Guang-Xi , LI Wei-Sheng . EXPLORATION OF OPTIMUM SHAPE IN SYMMETRY FISSION. Chinese Physics C, 1988, 12(5): 669-672.

Access

Get Citation

Dai Guangxi and Li Weisheng. Exploration of Optimum Shape in Symmetric Fission[J]. Chinese Physics C, 1988, 12(S4): 399-404.

Dai Guangxi and Li Weisheng. Exploration of Optimum Shape in Symmetric Fission[J]. Chinese Physics C, 1988, 12(S4): 399-404. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1987-01-22

Article Metric

Article Views(583)
PDF Downloads(3)
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

Exploration of Optimum Shape in Symmetric Fission

Dai Guangxi
Li Weisheng

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou

Received Date: 1987-01-22

Abstract: In this paper the large deformation of symmetric fission is described by a biquadratic surface revolution instead of several quadratic equations. Based on the standard liquid model, variation calculation of the deformation energy is performed and thereby, a better shape with a group of coefficients {bi} than the Cassinian ovaloid is obtained. The shape with {bi} has lower deformation energy than that of the Cassinian ovaloid at the same separation distance between C.M. of half bcxiies. The applicability of this so-called shape optimum II with {bi} is examined in the mass range A=208-308. The fission barrier for shape optimum II is lower and thinner than that of the ovaloid, because after the saddle point the potential descends more rapidly. There are significant differences of deformation energy between the shape optimum II and the ovaloid when the neck in the middle appears. The neck cross section of shape optimum II is larger than that of the ovaloid before the scission point is reached, but they are equal or thinner near this point.