A. V. Mahesh Babu, N. Dhananjaya, H. C. Manjunatha, N. Sowmya, A. M. Nagaraja
{"title":"改进的自发裂变半衰期经验公式","authors":"A. V. Mahesh Babu, N. Dhananjaya, H. C. Manjunatha, N. Sowmya, A. M. Nagaraja","doi":"10.1142/s0217732324500184","DOIUrl":null,"url":null,"abstract":"<p>The spontaneous fission (SF) half-lives of all 96 experimentally accessible SF emitters were examined. The SF emitters are classified as even <i>Z</i>-even <i>A</i>, odd <i>Z</i>-even <i>A</i>, odd <i>Z</i>-odd <i>A</i> and even <i>Z</i>-odd <i>A</i>. A plot of <span><math altimg=\"eq-00001.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><mo>+</mo><mi>k</mi><mi>δ</mi><mi>m</mi></math></span><span></span> versus <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup><mo stretchy=\"false\">∕</mo><mi>A</mi></math></span><span></span> demonstrates a straight line, where <i>k</i> is variable. 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. When compared to other sets of combinations (even <i>Z</i>-even <i>A</i>, and odd <i>Z</i>-odd <i>A</i> nuclei), this study more accurately reproduces the experimental SF half-lives for even <i>Z</i>-odd <i>A</i> and odd <i>Z</i>-even <i>A</i> nuclei with smaller <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>σ</mi></math></span><span></span> in the atomic number range 9<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mn>0</mn><mo>≤</mo><mi>Z</mi><mo>≤</mo><mn>1</mn></math></span><span></span>12 and mass number range 23<span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mn>2</mn><mo>≤</mo><mi>A</mi><mo>≤</mo><mn>2</mn></math></span><span></span>84.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Improved empirical formula for spontaneous fission half-lives\",\"authors\":\"A. V. Mahesh Babu, N. Dhananjaya, H. C. Manjunatha, N. Sowmya, A. M. Nagaraja\",\"doi\":\"10.1142/s0217732324500184\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The spontaneous fission (SF) half-lives of all 96 experimentally accessible SF emitters were examined. The SF emitters are classified as even <i>Z</i>-even <i>A</i>, odd <i>Z</i>-even <i>A</i>, odd <i>Z</i>-odd <i>A</i> and even <i>Z</i>-odd <i>A</i>. A plot of <span><math altimg=\\\"eq-00001.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><mo>+</mo><mi>k</mi><mi>δ</mi><mi>m</mi></math></span><span></span> versus <span><math altimg=\\\"eq-00002.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup><mo stretchy=\\\"false\\\">∕</mo><mi>A</mi></math></span><span></span> demonstrates a straight line, where <i>k</i> is variable. 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. When compared to other sets of combinations (even <i>Z</i>-even <i>A</i>, and odd <i>Z</i>-odd <i>A</i> nuclei), this study more accurately reproduces the experimental SF half-lives for even <i>Z</i>-odd <i>A</i> and odd <i>Z</i>-even <i>A</i> nuclei with smaller <span><math altimg=\\\"eq-00004.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>σ</mi></math></span><span></span> in the atomic number range 9<span><math altimg=\\\"eq-00005.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mn>0</mn><mo>≤</mo><mi>Z</mi><mo>≤</mo><mn>1</mn></math></span><span></span>12 and mass number range 23<span><math altimg=\\\"eq-00006.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mn>2</mn><mo>≤</mo><mi>A</mi><mo>≤</mo><mn>2</mn></math></span><span></span>84.</p>\",\"PeriodicalId\":18752,\"journal\":{\"name\":\"Modern Physics Letters A\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modern Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217732324500184\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217732324500184","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
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。
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 versus demonstrates a straight line, where k is variable. The values produced in this study are compared to all other semi-empirical relations such as Ren et al., [Nucl. Phys. A759, 64 (2005)], Xu et al., [Phys. Rev. C78, 044329 (2008)], Santhosh et al., [Nucl. Phys. A832, 220 (2010)] and Karpov et al., [Int. J. Mod. Phys. E21, 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 in the atomic number range 912 and mass number range 2384.
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.