{"title":"核库仑激发的半经典方法","authors":"Zongheng Li, Tao Li, Xu Wang","doi":"10.1103/physrevc.110.024605","DOIUrl":null,"url":null,"abstract":"Nuclear Coulomb excitation is often calculated using a semiclassical (SC) approach, where the projectile follows classical trajectories and excites the target nucleus through a time-dependent Coulomb interaction. While the validity of the SC approach has been well established for electric quadrupole (<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>E</mi><mn>2</mn></mrow></math>) transitions, its accuracy for higher-order multipole transitions remains insufficiently benchmarked. In this paper, we compare Coulomb excitation cross sections for higher-order multipole transitions calculated using the SC approach with those obtained through a quantum mechanical (QM) approach, where the projectile is described by wave functions. For <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>E</mi><mn>2</mn></mrow></math> transitions, the excitation cross sections from both approaches are of the same order of magnitude, consistent with existing validations. However, for higher-order multipole transitions, the SC approach yields significantly higher cross sections, deviating possibly by orders of magnitude from the QM results. This discrepancy underscores the necessity of the QM approach for accurate calculations of the Coulomb excitation cross sections. The failure of the SC approach is explained through using the Wentzel-Kramers-Brillouin approximation.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":"58 1","pages":""},"PeriodicalIF":3.1000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Semiclassical approach for nuclear Coulomb excitation\",\"authors\":\"Zongheng Li, Tao Li, Xu Wang\",\"doi\":\"10.1103/physrevc.110.024605\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nuclear Coulomb excitation is often calculated using a semiclassical (SC) approach, where the projectile follows classical trajectories and excites the target nucleus through a time-dependent Coulomb interaction. While the validity of the SC approach has been well established for electric quadrupole (<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>E</mi><mn>2</mn></mrow></math>) transitions, its accuracy for higher-order multipole transitions remains insufficiently benchmarked. In this paper, we compare Coulomb excitation cross sections for higher-order multipole transitions calculated using the SC approach with those obtained through a quantum mechanical (QM) approach, where the projectile is described by wave functions. For <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>E</mi><mn>2</mn></mrow></math> transitions, the excitation cross sections from both approaches are of the same order of magnitude, consistent with existing validations. However, for higher-order multipole transitions, the SC approach yields significantly higher cross sections, deviating possibly by orders of magnitude from the QM results. This discrepancy underscores the necessity of the QM approach for accurate calculations of the Coulomb excitation cross sections. The failure of the SC approach is explained through using the Wentzel-Kramers-Brillouin approximation.\",\"PeriodicalId\":20122,\"journal\":{\"name\":\"Physical Review C\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review C\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevc.110.024605\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevc.110.024605","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Semiclassical approach for nuclear Coulomb excitation
Nuclear Coulomb excitation is often calculated using a semiclassical (SC) approach, where the projectile follows classical trajectories and excites the target nucleus through a time-dependent Coulomb interaction. While the validity of the SC approach has been well established for electric quadrupole () transitions, its accuracy for higher-order multipole transitions remains insufficiently benchmarked. In this paper, we compare Coulomb excitation cross sections for higher-order multipole transitions calculated using the SC approach with those obtained through a quantum mechanical (QM) approach, where the projectile is described by wave functions. For transitions, the excitation cross sections from both approaches are of the same order of magnitude, consistent with existing validations. However, for higher-order multipole transitions, the SC approach yields significantly higher cross sections, deviating possibly by orders of magnitude from the QM results. This discrepancy underscores the necessity of the QM approach for accurate calculations of the Coulomb excitation cross sections. The failure of the SC approach is explained through using the Wentzel-Kramers-Brillouin approximation.
期刊介绍:
Physical Review C (PRC) is a leading journal in theoretical and experimental nuclear physics, publishing more than two-thirds of the research literature in the field.
PRC covers experimental and theoretical results in all aspects of nuclear physics, including:
Nucleon-nucleon interaction, few-body systems
Nuclear structure
Nuclear reactions
Relativistic nuclear collisions
Hadronic physics and QCD
Electroweak interaction, symmetries
Nuclear astrophysics