A Mathematical Relationship between Hydrogenic Periodic Property and Nuclear Properties in Furtherance of Bohr’s Theory

Ikechukwu Iloh Udema
{"title":"A Mathematical Relationship between Hydrogenic Periodic Property and Nuclear Properties in Furtherance of Bohr’s Theory","authors":"Ikechukwu Iloh Udema","doi":"10.9734/ajr2p/2022/v6i3117","DOIUrl":null,"url":null,"abstract":"Background: Atomic physics and nuclear matter physics are often exclusively studied. However, atomic properties are a direct function of nuclear properties. Establishing a mathematical relationship between nuclear and atomic properties could serve the interest of nuclear and atomic engineers. Nuclear - and atomic-based instrumentation engineering and nuclear medicine (and perhaps atomic medicine) applications could be the benefits. \nObjectives: The research is undertaken to 1) link nuclear property, the mass-radius of the nucleon, and ionization energy of hydrogen via the derivation of appropriate equation and 2) determine the mass-radii of the nucleons and some leptons. \nMethods: Theoretical and computational methods. \nResults and Discussion: As applicable to the previous results in the literature, the larger the mass of the elementary particles, the longer the radii. For the particles investigated, the order of the radius is muon (m-)<proton (p+)< neutron (n)< tauon (t-) corresponding to increasing mass, m-<p+< n<t-. The values of the mass radii were respectively » 0.1240, 1.1012, 1.1027, and 2.0855 fm. \nConclusion: Nuclear properties such as the radius of any nucleon (ΓN) can be mathematically linked to atomic properties such as the ionization energy of hydrogen via equation which shows that ΓN is inversely proportional to the ionization energy of hydrogen and directly proportional to the rest-mass of the particle.","PeriodicalId":8529,"journal":{"name":"Asian Journal of Research and Reviews in Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Research and Reviews in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/ajr2p/2022/v6i3117","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

Background: Atomic physics and nuclear matter physics are often exclusively studied. However, atomic properties are a direct function of nuclear properties. Establishing a mathematical relationship between nuclear and atomic properties could serve the interest of nuclear and atomic engineers. Nuclear - and atomic-based instrumentation engineering and nuclear medicine (and perhaps atomic medicine) applications could be the benefits. Objectives: The research is undertaken to 1) link nuclear property, the mass-radius of the nucleon, and ionization energy of hydrogen via the derivation of appropriate equation and 2) determine the mass-radii of the nucleons and some leptons. Methods: Theoretical and computational methods. Results and Discussion: As applicable to the previous results in the literature, the larger the mass of the elementary particles, the longer the radii. For the particles investigated, the order of the radius is muon (m-)
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氢周期性质与核性质的数学关系对玻尔理论的进一步发展
背景:原子物理学和核物质物理学通常是专门研究的。然而,原子性质是核性质的直接函数。建立核和原子性质之间的数学关系可以服务于核和原子工程师的兴趣。基于核和原子的仪器工程和核医学(也许还有原子医学)应用可能会受益。目的:通过推导适当的方程,将核性质、核子的质量半径和氢的电离能联系起来;确定核子和一些轻子的质量半径。方法:理论方法和计算方法。结果与讨论:与先前文献的结果一样,基本粒子质量越大,半径越长。对于所研究的粒子,半径的顺序为μ子(m-)<质子(p+)<中子(n)< τ子(t-),对应于质量的增加,m-
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