{"title":"The Fate of Excited State of \\(^4\\text {He}\\)","authors":"M. Gattobigio, A. Kievsky","doi":"10.1007/s00601-023-01866-1","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the properties of the excited state of <span>\\(^4\\textrm{He}\\)</span>, <span>\\(^4\\textrm{He}^*\\)</span>, within the framework of Efimov physics and its connection to the unitary point of the nuclear interaction. We explore two different approaches to track the trajectory of <span>\\(^4\\textrm{He}^*\\)</span> as it crosses the <span>\\(^3\\textrm{H}\\)</span>+p threshold and potentially becomes a resonant state. The first approach involves an analytical continuation of the energy with respect to the Coulomb coupling, while the second approach introduces an artificial four-body force that it is gradually released. By utilizing Padé approximants and extrapolation techniques, we estimate the energy and width of the resonance. Our results suggest a central energy value of <span>\\(E_R=0.060(3)\\)</span> MeV and a width of <span>\\(\\Gamma /2=0.036(6)\\)</span> MeV using the Coulomb analysis, and <span>\\(E_R=0.068(1)\\)</span> MeV and <span>\\(\\Gamma /2=0.007(5)\\)</span> MeV with the four-body force analysis. Interestingly, these results are consistent with calculations based on <i>ab-initio</i> nuclear interactions but differ from the accepted values of the <span>\\(0^+\\)</span> resonance energy and width. This highlights the challenges in accurately determining the properties of resonant states in light nuclei and calls for further investigations and refinements in theoretical approaches.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2023-11-03","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/s00601-023-01866-1","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
We investigate the properties of the excited state of \(^4\textrm{He}\), \(^4\textrm{He}^*\), within the framework of Efimov physics and its connection to the unitary point of the nuclear interaction. We explore two different approaches to track the trajectory of \(^4\textrm{He}^*\) as it crosses the \(^3\textrm{H}\)+p threshold and potentially becomes a resonant state. The first approach involves an analytical continuation of the energy with respect to the Coulomb coupling, while the second approach introduces an artificial four-body force that it is gradually released. By utilizing Padé approximants and extrapolation techniques, we estimate the energy and width of the resonance. Our results suggest a central energy value of \(E_R=0.060(3)\) MeV and a width of \(\Gamma /2=0.036(6)\) MeV using the Coulomb analysis, and \(E_R=0.068(1)\) MeV and \(\Gamma /2=0.007(5)\) MeV with the four-body force analysis. Interestingly, these results are consistent with calculations based on ab-initio nuclear interactions but differ from the accepted values of the \(0^+\) resonance energy and width. This highlights the challenges in accurately determining the properties of resonant states in light nuclei and calls for further investigations and refinements in theoretical approaches.
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).