双β衰变半衰期的唯象学研究

肖杨; 耿立升

doi:10.13700/j.bh.1001-5965.2015.0604

双β衰变半衰期的唯象学研究

doi: 10.13700/j.bh.1001-5965.2015.0604

肖杨,
耿立升^,

北京航空航天大学物理科学与核能工程学院, 北京 100083

基金项目: 国家自然科学基金（11375024）；中央高校基本科研业务费专项资金（YWF-15-WLXY-001）

详细信息

作者简介:
肖杨,男,硕士研究生。主要研究方向:理论核物理、超标准模型物理及计算物理。Tel.:18810437286,E-mail:xyoung@buaa.edu.cn;耿立升,男,博士,教授,博士生导师。主要研究方向:理论核物理、超标准模型物理及计算物理。Tel.:010-82338376,E-mail:lisheng.geng@buaa.edu.cn

通讯作者:
耿立升,Tel.:010-82338376,E-mail:lisheng.geng@buaa.edu.cn

中图分类号: O571.3
计量
- 文章访问数: 909
- HTML全文浏览量: 102
- PDF下载量: 663
- 被引次数: 0
出版历程
- 收稿日期: 2015-09-16
- 网络出版日期: 2016-10-20

Phenomenological study of double-beta decay half-lives

XIAO Yang,
GENG Lisheng^,

School of Physics and Nuclear Energy Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Funds: National Natural Science Foundation of China (11375024); the Fundamental Research Funds for the Central Universities (YWF-15-WLXY-001)

摘要

摘要: 为了研究一个能较好描述实验数据的联系双β衰变半衰期和衰变能的唯象学公式的物理意义，通过对双β衰变相空间因子的分析，给出了该唯象学公式中双β衰变半衰期的对数和衰变能的反比关系的物理来源的一个可能的解释。此外，在该唯象学公式的基础上，基于壳模型理论，对该唯象学公式做出了改进。结果表明，唯象学公式中的对数反比关系是由双β衰变的相空间因子所造成的。按照改进后的公式所计算得到的双β衰变半衰期的对数的理论值与实验值之间的平均偏差由原本的0.486下降到了0.408。
- 双β衰变 /
- 相空间因子 /
- 壳修正 /
- 半衰期 /
- 唯象学
Abstract: In order to study the physical interpretation of a phenomenological formula which can well describe the available experimental data and connects double-beta decay half-lives and decay energy, a convincible explanation for the source of the inverse relationship between the logarithm of the double-beta decay half-life and the decay energy in the phenomenological formula is proposed based on the analyses of double-beta decay phasespace factor. In addition, based on shell model theory, a slight modification to the phenomenological formula is proposed, which can further improve the description of the experimental data. The results indicate that double-beta decay phasespace factor is the source of the inverse relationship between the logarithm of the double-beta decay half-life and the decay energy in the phenomenological formula. By using the new formula, the average deviation between theoretical and experimental values of the logarithms of the double-beta decay half-lives reduces from 0.486 to 0.408.
- double-beta decay /
- phasespace factor /
- shell corrections /
- half-lives /
- phenomenology

HTML全文

参考文献(17)

[1]	卢希庭.原子核物理[M].修订版.北京:原子能出版社,2001:144-145.LU X T.Nuclear physics[M].Revised ed.Beijing:Atomic Energy Press,2001:144-145(in Chinese).
[2]	ALFONSO K,ARTUSA D R,Avignone F T,et al. Search for neutrinoless double-beta decay of ¹³⁰Te with CUORE-0[J].Physical Review Letters,2015,115(10):102502.
[3]	REN Y J, REN Z Z.Systematic law for half-lives of double-β decay with two neutrinos[J].Physical Review C,2014,89(6):064603.
[4]	REN Y J, REN Z Z.Half-lives of double β⁺-decay with two neutrinos[J].Nuclear Science and Techniques,2015,26(2):S20510.
[5]	SAAKYAN R.Two-neutrino double-beta decay[J].Annual Review of Nuclear and Particle Science,2013,63(1):503-529.
[6]	WANG M,AUDI G,KONDEV F G,et al.NUBASE2012 evaluation of nuclear properties[J].Chinese Physics C,2012,120(12):6-7.
[7]	ACKERMAN N,AHARMIM B,AUGER M,et al.Observation of two-neutrino double-beta decay in ¹³⁶Xe with the EXO-200 detector[J].Physical Review Letters,2011,107(21):212501.
[8]	GANDO A,GANDO Y,HANAKAGO H,et al.Measurement of the double-β decay half-life of ¹³⁶Xe with the KamLAND-Zen experiment[J].Physical Review C,2012,85(4):045504.
[9]	ARNOLD R,AUGIER C,BAKER J,et al.Measurement of the ββ decay half-life of ¹³⁰Te with the NEMO-3 detector[J].Physical Review Letters,2011,107(6):062504.
[10]	BARABASH A S.Precise half-life values for two-neutrino double-β decay[J].Physical Review C,2010,81(3):035501.
[11]	RADUTA A A,RADUTA C M.Double beta decay to the first²⁺ state within a boson expansion formalism with a projected spherical single particle basis[J].Physics Letters B,2007,647(4):265-270.
[12]	AUNOLA M,SUHONEN J.Systematic study of beta and double beta decay to excited final states[J].Nuclear Physics A,1996,602(2):133-166.
[13]	TOIVANEN J,SUHONEN J.Study of several double-beta-decaying nuclei using the renormalized proton-neutron quasiparticle random-phase approximation[J].Physical Review C,1997,55(5):2314-2323.
[14]	STOICA S, MIHUT I.Nuclear structure calculations of two-neutrino double-beta decay transitions to excited final states[J].Nuclear Physics A,1996,602(2):197-210.
[15]	BARABASH A S,HUBERT F,HUBERT P,et al.New limits on the ββ decay of ¹³⁰Te to excited states of ¹³⁰Xe[J].The European Physical Journal A,2001,11(2):143-145.
[16]	HIRSCH J G,CASTANOS O,HESS P O,et al.Double-beta decay of ¹⁰⁰Mo:The deformed limit[J].Physical Review C,1995,51(4):2252-2255.
[17]	KOTILA J,IACHELLO F.Phase space factors for double-β decay[J].Physical Review C,2012,85(3):034316.