Michael D. Higgins, J. Golak, R. Skibiński, K. Topolnicki, H. Witała, H. Kamada, Chris H. Greene
{"title":"Observability of Modified Threshold Behavior Near Unitarity","authors":"Michael D. Higgins, J. Golak, R. Skibiński, K. Topolnicki, H. Witała, H. Kamada, Chris H. Greene","doi":"10.1007/s00601-025-02007-6","DOIUrl":null,"url":null,"abstract":"<div><p>A number of recent references have pointed out that an <i>N</i>-particle system having short-range interactions at <i>S</i>-wave and/or <i>P</i>-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close to unitarity one must get in order to observe such modifications has not been addressed. The present study quantifies this question by treating cases involving 3- or 4-neutrons, at the physical value of the neutron-neutron singlet scattering length <span>\\(a_{s}\\)</span> and at artificially altered values. One major conclusion is that the neutron-neutron scattering length is not yet sufficiently large for the 3<i>n</i> or 4<i>n</i> systems to demonstrate the unitarity threshold exponent.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00601-025-02007-6.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-025-02007-6","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
A number of recent references have pointed out that an N-particle system having short-range interactions at S-wave and/or P-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close to unitarity one must get in order to observe such modifications has not been addressed. The present study quantifies this question by treating cases involving 3- or 4-neutrons, at the physical value of the neutron-neutron singlet scattering length \(a_{s}\) and at artificially altered values. One major conclusion is that the neutron-neutron scattering length is not yet sufficiently large for the 3n or 4n systems to demonstrate the unitarity threshold exponent.
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).