Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula

DONG Tie-Kuang; REN Zhong-Zhou

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> 2006, Vol. 30> Issue(2) : 113-117

Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula

DONG Tie-Kuang ,
REN Zhong-Zhou ^,

Department of Physics, Nanjing University, Nanjing 210008, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The Viola-Seaborg formula is a well-known formula for α decay half-life of heavy nuclei. In this work we obtain a set of new parameters for this formula through a least-square fit to even-even nuclei between Z= 84 and Z=110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei with a factor of 1.3. In order to improve the calculated results for odd-A nuclei and for odd-odd nuclei, we obtain a generalized form of the Viola-Seaborg formula by including the influence of orbital angular momentum of α particle on half-lives of odd-A nuclei and odd-odd nuclei. On average, half-lives of odd-A and odd-odd nuclei can be reproduced with a factor of 2.5 by the generalized Viola-Seaborg formula.

References

[1]

. Viola V E, Seaborg G T. J. Inorg. Nucl. Chem., 1966, 28:7412. Mller P, Nix J R, Kratz K L. At. Data and Nucl. DataTables, 1997, 66: 1313. Hofmann S, Münzenberg G. Rev. Mod. Phys., 2000, 72:7334. Wilk P A, Gregorich K E, Türler A et al. Phys. Rev. Lett.,2000, 85: 26975. Oganessian Yu Ts, Utyonkov V K, Lobanov Yu V et al.Phys. Rev., 2004, C70: 0646096. GAN Zai-Guo et al. HEP NP, 2004, 28(4): 332 7. Audi G, Bersillon O, Blachot J et al. Nucl. Phys., 2003,A729: 38. Rasmussen J O. Alpha-Decay. In: Siegbahn K.α·β·γ·Ray Spectroscopy(Volume I).Netherlands: North-Holland Publishing Company Amsterdam, 1965. 7019. REN Zhong-Zhou, XU Chang, WANG Zai-Jun. Phys. Rev.,2004, C70: 03430410. REN Zhong-Zhou, XU Chang, WANG Zai-Jun. HEP NP, 2004, 28(12): 124511. Gallagher C J, Rasmussen J O. J. Inorg. Nucl. Chem., 1957,3: 33312. Preston M A, Bhaduri R K. Strcture of the Nucleus.USA: Addison-Wesley Publishing Company, INC., 1975.509

[1]	ZHOU Feng-Qun , ZHAI Zi-Nan , TUO Fei , LUO Jun-Hua , KONG Xiang-Zhong . A Formula Used to Calculate Cross Section of Isomerous State with Characteristic Gamma-Ray of Ground State in a Special Case and Its Application. Chinese Physics C, 2007, 31(7): 625-628.
[2]	ZHANG Hong-Fei , CHEN Bao-Qiu , MA Zhong-Yu , ZUO Wei , LI Jun-Qing , REN Xiu-Zai . Properties of the Superheavy Nuclei 288115 and Its α-Decay Chain in a Generalized Liquid-Drop Model. Chinese Physics C, 2006, 30(3): 220-223.
[3]	ZHOU Feng-Qun , LUO Jun-Hua , YI Yan-Ling , TUO Fei , KONG Xiang-Zhong . A General Formula Used to Deduct the Effect of Excited State to Base State Was Deduced in Measurement of Cross Section of Nuclear Reaction. Chinese Physics C, 2005, 29(8): 741-744.
[4]	An Nan , YANG Xin-E . Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition. Chinese Physics C, 2005, 29(4): 350-353.
[5]	XU Chang , REN Zhong-Zhou , WANG Zai-Jun . New Formula for Spontaneous Fission Half-lives of Heavy Nuclei. Chinese Physics C, 2005, 29(7): 673-676.
[6]	ZHOU Chun-Mei , WU Zhen-Dong , HUANG Xiao-Long . Calculations of Energy and Intensity Balances in ε Decay. Chinese Physics C, 2004, 28(11): 1154-1159.
[7]	ZHOU Chun-Mei , WU Zhen-Dong . Calculation of Absolute Intensities of γ-Rays from α Decay. Chinese Physics C, 2004, 28(10): 1074-1078.
[8]	XU Chang , REN Zhong-Zhou . Study on the Unfavored α-Decay Lifetimes around a Closed Shell. Chinese Physics C, 2004, 28(5): 502-506.
[9]	ZHOU Chun-Mei . γ-Ray Intensity Calculations for Isomeric Transition Decays. Chinese Physics C, 2003, 27(7): 594-597.
[10]	XU Chang , REN Zhong-Zhou . Study on the α-Decay Lifetimes of Superheavy Elements. Chinese Physics C, 2003, 27(12): 1089-1094.
[11]	LIANG Wei-Hong , SHEN Peng-Nian , ZOU Bing-Song . Theoretical Formalism for N* Study via J/ψ→ppω Decay Process. Chinese Physics C, 2002, 26(S1): 93-97.
[12]	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.
[13]	WU HuiFang , HUANG Tao . Half-Life and the Nuclear Matrix Element of the 2νββ Decay in ⁷⁶Ge. Chinese Physics C, 2000, 24(6): 589-592.
[14]	Wu Huifang , Song Changliang . The 2νββ Decay Lifetime and the Shell Model Wavefunction in ⁸²Se. Chinese Physics C, 1994, 18(4): 366-370.
[15]	GAN Zai-Guo , HUANG Ye-Cheng . A Mass Formula with a Few Free Parameters and Nuclear Mass Calculations. Chinese Physics C, 1992, 16(2): 172-177.
[16]	SHEN Qi-Xing , YU Hong . Angular Distributions and Generalized Moment Analysis for the Doubly Radiative Decay J/ψ→γγV. Chinese Physics C, 1992, 16(8): 704-715.
[17]	YOU Ke , ZHU Yu-Can , LV Jun-Guang , SUN Han-Sheng , TIAN Wei-Hua , ZHAO Wen-Heng , ZHENG Zhi-Peng , YE Ming-Han , QING Cheng-Rui , HE Zuo-Xiu , CUI Feng-Zhu , YU Chang-Jiang , . A Limit of Neutrinoless Double Beta Decay of ⁴⁸Ca. Chinese Physics C, 1991, 15(11): 966-972.
[18]	QUAN Xiang-Lin , WANG Lian-Ji . THE GENERALIZATION ON B.W.LEE'S EQUATION Γ*Γ=0. Chinese Physics C, 1986, 10(4): 508-512.
[19]	HUANG XIAO-WU . CALCVLATION OF MESON DECAY WIDTH OF BY THE COMPOSITE FIELD THEORY. Chinese Physics C, 1982, 6(4): 409-412.
[20]	TIAN YE , SHEN QING-BIAO , ZHUO YI-ZHONG . CALCULATION OF MICROSCOPIC OPTICAL POTENTIAL BY USE OF THE GENERALIZED SKYRME FORCES. Chinese Physics C, 1982, 6(5): 616-629.

Access

Get Citation

DONG Tie-Kuang and REN Zhong-Zhou. Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula[J]. Chinese Physics C, 2006, 30(2): 113-117.

DONG Tie-Kuang and REN Zhong-Zhou. Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula[J]. Chinese Physics C, 2006, 30(2): 113-117. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-04-30
Revised: 1900-01-01

Article Metric

Article Views(4387)
PDF Downloads(692)
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

Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula

DONG Tie-Kuang
REN Zhong-Zhou ^,

Corresponding author: REN Zhong-Zhou,

Department of Physics, Nanjing University, Nanjing 210008, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China

Received Date: 2005-04-30
Accepted Date: 1900-01-01
Available Online: 2006-02-05

Abstract: The Viola-Seaborg formula is a well-known formula for α decay half-life of heavy nuclei. In this work we obtain a set of new parameters for this formula through a least-square fit to even-even nuclei between Z= 84 and Z=110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei with a factor of 1.3. In order to improve the calculated results for odd-A nuclei and for odd-odd nuclei, we obtain a generalized form of the Viola-Seaborg formula by including the influence of orbital angular momentum of α particle on half-lives of odd-A nuclei and odd-odd nuclei. On average, half-lives of odd-A and odd-odd nuclei can be reproduced with a factor of 2.5 by the generalized Viola-Seaborg formula.