{"title":"Structure of Resonance States in Three-Alpha Systems","authors":"Souichi Ishikawa","doi":"10.1007/s00601-024-01922-4","DOIUrl":null,"url":null,"abstract":"<div><p>Geometrical structures of low-energy states in the <span>\\({}^{12}\\)</span>C nucleus are investigated using density distributions obtained from three <span>\\(\\alpha \\)</span>-particle wave functions calculated for a set of phenomenological <span>\\(2\\alpha \\)</span>- and <span>\\(3\\alpha \\)</span> potentials by Faddeev technique. Calculated shapes of triangles that three <span>\\(\\alpha \\)</span>-particles form are classified to either an equilateral triangle, an isosceles triangle, or a mixture of these with various sizes, which may characterize the excitation mechanism of the states</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"65 2","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-024-01922-4","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
Geometrical structures of low-energy states in the \({}^{12}\)C nucleus are investigated using density distributions obtained from three \(\alpha \)-particle wave functions calculated for a set of phenomenological \(2\alpha \)- and \(3\alpha \) potentials by Faddeev technique. Calculated shapes of triangles that three \(\alpha \)-particles form are classified to either an equilateral triangle, an isosceles triangle, or a mixture of these with various sizes, which may characterize the excitation mechanism of the states
期刊介绍：
The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures.
Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal.
The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).
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