{"title":"Beta-delayed particle emission and collective rotations","authors":"K. Riisager, E. A. M. Jensen, A. S. Jensen","doi":"10.1140/epja/s10050-025-01550-4","DOIUrl":null,"url":null,"abstract":"<div><p>Beta-delayed proton emission in the lower half of the sd-shell will involve deformed nuclei. We derive the normalized matrix element connecting emission of one particle from an initial rotational nuclear state to another final rotating state, and we extract selection rules involving the <i>K</i> quantum number. The initial state is approximated as having a core identical to the final nuclear state. The formalism is then directly applicable to <span>\\(\\beta ^+\\)</span>-delayed proton decays of even-<i>Z</i>, odd-<i>N</i> nuclei or <span>\\(\\beta ^-\\)</span>-delayed neutron decays of odd-<i>Z</i>, even <i>N</i> nuclei. These beta-decay results are compared to the outcomes of possible transfer reactions. As an example the beta-delayed proton emission of <span>\\(^{21}\\)</span>Mg is considered, where new structure information is obtained and quantum numbers assigned to several states in <span>\\(^{21}\\)</span>Na.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"61 4","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epja/s10050-025-01550-4.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal A","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epja/s10050-025-01550-4","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
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Abstract
Beta-delayed proton emission in the lower half of the sd-shell will involve deformed nuclei. We derive the normalized matrix element connecting emission of one particle from an initial rotational nuclear state to another final rotating state, and we extract selection rules involving the K quantum number. The initial state is approximated as having a core identical to the final nuclear state. The formalism is then directly applicable to \(\beta ^+\)-delayed proton decays of even-Z, odd-N nuclei or \(\beta ^-\)-delayed neutron decays of odd-Z, even N nuclei. These beta-decay results are compared to the outcomes of possible transfer reactions. As an example the beta-delayed proton emission of \(^{21}\)Mg is considered, where new structure information is obtained and quantum numbers assigned to several states in \(^{21}\)Na.
期刊介绍：
Hadron Physics
Hadron Structure
Hadron Spectroscopy
Hadronic and Electroweak Interactions of Hadrons
Nonperturbative Approaches to QCD
Phenomenological Approaches to Hadron Physics
Nuclear and Quark Matter
Heavy-Ion Collisions
Phase Diagram of the Strong Interaction
Hard Probes
Quark-Gluon Plasma and Hadronic Matter
Relativistic Transport and Hydrodynamics
Compact Stars
Nuclear Physics
Nuclear Structure and Reactions
Few-Body Systems
Radioactive Beams
Electroweak Interactions
Nuclear Astrophysics
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Letters (Open Access)
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New Tools and Techniques
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