{"title":"ANCs of the Bound States of \\(^{16}\\)O Deduced from Elastic \\(\\alpha \\)-\\(^{12}\\)C Scattering Data","authors":"Shung-Ichi Ando","doi":"10.1007/s00601-023-01877-y","DOIUrl":null,"url":null,"abstract":"<div><p>Asymptotic normalization coefficients (ANCs) of the <span>\\(0_1^+\\)</span>, <span>\\(0_2^+\\)</span>, <span>\\(1_1^-\\)</span>, <span>\\(2_1^+\\)</span>, <span>\\(3_1^-\\)</span> (<span>\\(l_{i th}^\\pi \\)</span>) bound states of <span>\\(^{16}\\)</span>O are deduced from the phase shift data of elastic <span>\\(\\alpha \\)</span>-<span>\\(^{12}\\)</span>C scattering at low energies. <i>S</i> matrices of elastic <span>\\(\\alpha \\)</span>-<span>\\(^{12}\\)</span>C scattering are constructed within cluster effective field theory (EFT), in which both bound and resonant states of <span>\\(^{16}\\)</span>O are considered. Parameters in the <i>S</i> matrices are fitted to the precise phase shift data below the <i>p</i>-<span>\\(^{15}\\)</span>N breakup energy for the partial waves of <span>\\(l=0,1,2,3,4,5,6\\)</span>, and the ANCs are calculated by using the wave function normalization factors of <span>\\(^{16}\\)</span>O propagators for <span>\\(l=0,1,2,3\\)</span>. We review the values of ANCs, which are compared with other results in the literature, and discuss uncertainties of the ANCs obtained from the elastic <span>\\(\\alpha \\)</span>-<span>\\(^{12}\\)</span>C scattering data in cluster EFT.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2024-01-22","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/s00601-023-01877-y","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}
引用次数: 0
Abstract
Asymptotic normalization coefficients (ANCs) of the \(0_1^+\), \(0_2^+\), \(1_1^-\), \(2_1^+\), \(3_1^-\) (\(l_{i th}^\pi \)) bound states of \(^{16}\)O are deduced from the phase shift data of elastic \(\alpha \)-\(^{12}\)C scattering at low energies. S matrices of elastic \(\alpha \)-\(^{12}\)C scattering are constructed within cluster effective field theory (EFT), in which both bound and resonant states of \(^{16}\)O are considered. Parameters in the S matrices are fitted to the precise phase shift data below the p-\(^{15}\)N breakup energy for the partial waves of \(l=0,1,2,3,4,5,6\), and the ANCs are calculated by using the wave function normalization factors of \(^{16}\)O propagators for \(l=0,1,2,3\). We review the values of ANCs, which are compared with other results in the literature, and discuss uncertainties of the ANCs obtained from the elastic \(\alpha \)-\(^{12}\)C scattering data in cluster EFT.
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).