改进的自发裂变半衰期经验公式

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Modern Physics Letters A Pub Date : 2024-04-01 DOI:10.1142/s0217732324500184
A. V. Mahesh Babu, N. Dhananjaya, H. C. Manjunatha, N. Sowmya, A. M. Nagaraja
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The <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mo>log</mo><msub><mrow><mi>T</mi></mrow><mrow><mn>1</mn><mo stretchy=\"false\">∕</mo><mn>2</mn></mrow></msub></math></span><span></span> values produced in this study are compared to all other semi-empirical relations such as Ren <i>et al.</i>, [<i>Nucl. Phys. A</i> <b>759</b>, 64 (2005)], Xu <i>et al.</i>, [<i>Phys. Rev. C</i> <b>78</b>, 044329 (2008)], Santhosh <i>et al.</i>, [<i>Nucl. Phys. A</i> <b>832</b>, 220 (2010)] and Karpov <i>et al.</i>, [<i>Int. J. Mod. Phys. E</i> <b>21</b>, 1250013 (2012)] available in the literature. When compared to earlier semi-empirical equations accessible in the literature, the new formula shows reduced uncertainty in standard deviation in the case of Odd <i>Z</i>-even <i>A</i> and even <i>Z</i>-Odd <i>A</i> nuclei. 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引用次数: 0

摘要

研究了所有 96 个可通过实验获得的 SF 发射器的自发裂变(SF)半衰期。logT1∕2+kδm 与 Z2∕A 的关系图显示出一条直线,其中 k 是可变的。本研究得出的 logT1∕2 值与所有其他半经验关系进行了比较,如 Ren 等人,[Nucl. Phys. A 759, 64 (2005)],Xu 等人,[Phys. Rev. C 78, 044329 (2008)],Santhosh 等人,[Nucl. Phys. A 832, 220 (2010)]和 Karpov 等人,[Int. J. Mod. Phys. E 21, 1250013 (2012)]。与文献中早期的半经验公式相比,新公式显示奇数 Z 偶数 A 核和偶数 Z 奇数 A 核的标准偏差的不确定性有所降低。与其他组合(偶Z-偶A核和奇Z-奇A核)相比,这项研究更准确地再现了原子序数范围90≤Z≤112和质量数范围232≤A≤284、σ较小的偶Z-奇A核和奇Z-偶A核的实验SF半衰期。
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Improved empirical formula for spontaneous fission half-lives

The spontaneous fission (SF) half-lives of all 96 experimentally accessible SF emitters were examined. The SF emitters are classified as even Z-even A, odd Z-even A, odd Z-odd A and even Z-odd A. A plot of logT12+kδm versus Z2A demonstrates a straight line, where k is variable. The logT12 values produced in this study are compared to all other semi-empirical relations such as Ren et al., [Nucl. Phys. A 759, 64 (2005)], Xu et al., [Phys. Rev. C 78, 044329 (2008)], Santhosh et al., [Nucl. Phys. A 832, 220 (2010)] and Karpov et al., [Int. J. Mod. Phys. E 21, 1250013 (2012)] available in the literature. When compared to earlier semi-empirical equations accessible in the literature, the new formula shows reduced uncertainty in standard deviation in the case of Odd Z-even A and even Z-Odd A nuclei. When compared to other sets of combinations (even Z-even A, and odd Z-odd A nuclei), this study more accurately reproduces the experimental SF half-lives for even Z-odd A and odd Z-even A nuclei with smaller σ in the atomic number range 90Z112 and mass number range 232A284.

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来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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