Fanglei Zou, Xiaojun Sun, Jingshang Zhang, Xiaodong Sun, Xi Tao, Ruirui Xu, Kang Xing, Yongli Jin
{"title":"Effects of energy levels on the double-differential cross sections for \\(n + ^{13}\\)C reaction below 20 MeV","authors":"Fanglei Zou, Xiaojun Sun, Jingshang Zhang, Xiaodong Sun, Xi Tao, Ruirui Xu, Kang Xing, Yongli Jin","doi":"10.1140/epja/s10050-025-01556-y","DOIUrl":null,"url":null,"abstract":"<div><p>The nuclear data of <span>\\(n + ^{13}\\)</span>C reaction are very important in describing the evolution of nuclear astrophysics, understanding the cluster structure of light nuclei, and producting the radiocarbon. Based on the unified Hauser-Feshbach and exciton model, a statistical theory of light nucleus reaction (STLN) is improved to describe the effects of energy levels on the double-differential cross sections of neutron and charged particles for <span>\\(n + ^{13}\\)</span>C reaction. The individual contributions of every energy level of the target and different residual nuclei have been analysed. The calculated results agree well with all of the existing experimental double-differential cross sections of outgoing neutron. And the theoretical analysis provides an evidence for the existence of the possible levels of <span>\\(^{13}\\)</span>C. The results also indicate that the contributions of the direct inelastic scattering derived from DWBA theory and the three-body breakup reaction should be considered. Especially, the contributions of (<i>n</i>, 2<i>n</i>) channel of the 6-th energy level of <span>\\(^{13}\\)</span>C have been considered. The doubt regarding the significant discrepancies observed near 3-MeV exit energy range for two closely spaced incident energies of 8.09 MeV and 8.24 MeV has been clarified. Furthermore, the total double-differential cross sections of outgoing proton, deuteron, triton, and <span>\\(\\alpha \\)</span> can be self-consistently predicted at arbitrary outgoing angles and incident energies for <span>\\(n+^{13}\\text {C}\\)</span> reaction.</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":"","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/s10050-025-01556-y","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}
引用次数: 0
Abstract
The nuclear data of \(n + ^{13}\)C reaction are very important in describing the evolution of nuclear astrophysics, understanding the cluster structure of light nuclei, and producting the radiocarbon. Based on the unified Hauser-Feshbach and exciton model, a statistical theory of light nucleus reaction (STLN) is improved to describe the effects of energy levels on the double-differential cross sections of neutron and charged particles for \(n + ^{13}\)C reaction. The individual contributions of every energy level of the target and different residual nuclei have been analysed. The calculated results agree well with all of the existing experimental double-differential cross sections of outgoing neutron. And the theoretical analysis provides an evidence for the existence of the possible levels of \(^{13}\)C. The results also indicate that the contributions of the direct inelastic scattering derived from DWBA theory and the three-body breakup reaction should be considered. Especially, the contributions of (n, 2n) channel of the 6-th energy level of \(^{13}\)C have been considered. The doubt regarding the significant discrepancies observed near 3-MeV exit energy range for two closely spaced incident energies of 8.09 MeV and 8.24 MeV has been clarified. Furthermore, the total double-differential cross sections of outgoing proton, deuteron, triton, and \(\alpha \) can be self-consistently predicted at arbitrary outgoing angles and incident energies for \(n+^{13}\text {C}\) reaction.
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
Article Categories
Letters (Open Access)
Regular Articles
New Tools and Techniques
Reviews.