A. Obaid , A.M. Khalaf , M. Kotb , H.A. Ghanem , Nagat A. Elmahdy
{"title":"偶偶数原子核旋转光谱的四参数新公式","authors":"A. Obaid , A.M. Khalaf , M. Kotb , H.A. Ghanem , Nagat A. Elmahdy","doi":"10.1016/j.nuclphysa.2024.122972","DOIUrl":null,"url":null,"abstract":"<div><div>In this article, the authors presents a novel four parameter formula based on developing an expression for the moment of inertia in terms of Bohr-Mottelson Geometric Collective Model (GCM). The formula provides an excellent agreement with the experimental data for all nuclei under consideration. Some key quantities will also be derived such as the rotational frequency, the kinematic and dynamical moment of inertia, and their variation with spin will be investigated. A comparison between our proposed four parameter model with both the variable moment of inertia model, and the recently proposed <em>β</em>-stretching model is also presented. Various <span><math><mi>Δ</mi><mi>I</mi><mo>=</mo><mn>1</mn></math></span> and <span><math><mi>Δ</mi><mi>I</mi><mo>=</mo><mn>2</mn></math></span> energy staggering indices will be presented and compared to the experimental counterpart in the paper.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1053 ","pages":"Article 122972"},"PeriodicalIF":1.7000,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A novel four parameter formula for the rotational spectra of even-even nuclei\",\"authors\":\"A. Obaid , A.M. Khalaf , M. Kotb , H.A. Ghanem , Nagat A. Elmahdy\",\"doi\":\"10.1016/j.nuclphysa.2024.122972\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this article, the authors presents a novel four parameter formula based on developing an expression for the moment of inertia in terms of Bohr-Mottelson Geometric Collective Model (GCM). The formula provides an excellent agreement with the experimental data for all nuclei under consideration. Some key quantities will also be derived such as the rotational frequency, the kinematic and dynamical moment of inertia, and their variation with spin will be investigated. A comparison between our proposed four parameter model with both the variable moment of inertia model, and the recently proposed <em>β</em>-stretching model is also presented. Various <span><math><mi>Δ</mi><mi>I</mi><mo>=</mo><mn>1</mn></math></span> and <span><math><mi>Δ</mi><mi>I</mi><mo>=</mo><mn>2</mn></math></span> energy staggering indices will be presented and compared to the experimental counterpart in the paper.</div></div>\",\"PeriodicalId\":19246,\"journal\":{\"name\":\"Nuclear Physics A\",\"volume\":\"1053 \",\"pages\":\"Article 122972\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-10-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0375947424001544\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375947424001544","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
A novel four parameter formula for the rotational spectra of even-even nuclei
In this article, the authors presents a novel four parameter formula based on developing an expression for the moment of inertia in terms of Bohr-Mottelson Geometric Collective Model (GCM). The formula provides an excellent agreement with the experimental data for all nuclei under consideration. Some key quantities will also be derived such as the rotational frequency, the kinematic and dynamical moment of inertia, and their variation with spin will be investigated. A comparison between our proposed four parameter model with both the variable moment of inertia model, and the recently proposed β-stretching model is also presented. Various and energy staggering indices will be presented and compared to the experimental counterpart in the paper.
期刊介绍:
Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.