{"title":"折叠程序\\(\\Omega \\) - \\(\\alpha \\)电位","authors":"I. Filikhin, R. Ya. Kezerashvili, B. Vlahovic","doi":"10.1007/s00601-024-01973-7","DOIUrl":null,"url":null,"abstract":"<div><p>Using the folding procedure, we investigate the bound state of the <span>\\(\\Omega \\)</span>+<span>\\(\\alpha \\)</span> system. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong <span>\\(\\Omega \\)</span>-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, we performed numerical calculations for the folding <span>\\(\\Omega \\)</span>-<span>\\(\\alpha \\)</span> potential. Our results show that the <span>\\(V_{\\Omega \\alpha }(r)\\)</span> potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter <span>\\(R = 1.1A^{1/3} \\approx 1.74\\)</span> fm (<span>\\(A=4\\)</span>) in the asymptotic region where <span>\\(2< r < 3\\)</span> fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the <span>\\(\\Omega \\)</span>+<span>\\(\\alpha \\)</span> system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the <span>\\(\\Xi \\)</span>-<span>\\(\\alpha \\)</span> folding potential based on a simulation of the ESC08c <i>Y</i>-<i>N</i> Nijmegen model. A comprehensive comparison between the <span>\\(\\Xi \\)</span>-<span>\\(\\alpha \\)</span> folding and <span>\\(\\Xi \\)</span>-<span>\\( \\alpha \\)</span> phenomenological potentials is presented and discussed.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Folding Procedure for \\\\(\\\\Omega \\\\)-\\\\(\\\\alpha \\\\) Potential\",\"authors\":\"I. Filikhin, R. Ya. Kezerashvili, B. Vlahovic\",\"doi\":\"10.1007/s00601-024-01973-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Using the folding procedure, we investigate the bound state of the <span>\\\\(\\\\Omega \\\\)</span>+<span>\\\\(\\\\alpha \\\\)</span> system. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong <span>\\\\(\\\\Omega \\\\)</span>-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, we performed numerical calculations for the folding <span>\\\\(\\\\Omega \\\\)</span>-<span>\\\\(\\\\alpha \\\\)</span> potential. Our results show that the <span>\\\\(V_{\\\\Omega \\\\alpha }(r)\\\\)</span> potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter <span>\\\\(R = 1.1A^{1/3} \\\\approx 1.74\\\\)</span> fm (<span>\\\\(A=4\\\\)</span>) in the asymptotic region where <span>\\\\(2< r < 3\\\\)</span> fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the <span>\\\\(\\\\Omega \\\\)</span>+<span>\\\\(\\\\alpha \\\\)</span> system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the <span>\\\\(\\\\Xi \\\\)</span>-<span>\\\\(\\\\alpha \\\\)</span> folding potential based on a simulation of the ESC08c <i>Y</i>-<i>N</i> Nijmegen model. A comprehensive comparison between the <span>\\\\(\\\\Xi \\\\)</span>-<span>\\\\(\\\\alpha \\\\)</span> folding and <span>\\\\(\\\\Xi \\\\)</span>-<span>\\\\( \\\\alpha \\\\)</span> phenomenological potentials is presented and discussed.</p></div>\",\"PeriodicalId\":556,\"journal\":{\"name\":\"Few-Body Systems\",\"volume\":\"66 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-11-30\",\"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/s00601-024-01973-7\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-024-01973-7","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}
Folding Procedure for \(\Omega \)-\(\alpha \) Potential
Using the folding procedure, we investigate the bound state of the \(\Omega \)+\(\alpha \) system. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong \(\Omega \)-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, we performed numerical calculations for the folding \(\Omega \)-\(\alpha \) potential. Our results show that the \(V_{\Omega \alpha }(r)\) potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter \(R = 1.1A^{1/3} \approx 1.74\) fm (\(A=4\)) in the asymptotic region where \(2< r < 3\) fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the \(\Omega \)+\(\alpha \) system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the \(\Xi \)-\(\alpha \) folding potential based on a simulation of the ESC08c Y-N Nijmegen model. A comprehensive comparison between the \(\Xi \)-\(\alpha \) folding and \(\Xi \)-\( \alpha \) phenomenological potentials is presented and discussed.
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).