{"title":"角动量耦合Goldstone图的简化和更有效的计算","authors":"S. L. Jin, J. H. Hou, F. R. Xu","doi":"10.1140/epja/s10050-025-01637-y","DOIUrl":null,"url":null,"abstract":"<div><p>Motivated by the work of Kuo et al. (Ann Phys 132:237–276, 1981), we develop a simple method to compute Goldstone diagrams in the angular momentum coupled scheme. By redefining the cross-coupled matrix elements, we leverage symmetry properties more effectively, leading to simplified diagram factorization rules and promoted computational efficiency. We have successfully applied the rules to one-body tensor operators, and extended similar formulations to two-body tensor operators beyond the work of Kuo et al. (1981).</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"61 7","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Simplified and more efficient computations of angular-momentum-coupled Goldstone diagrams\",\"authors\":\"S. L. Jin, J. H. Hou, F. R. Xu\",\"doi\":\"10.1140/epja/s10050-025-01637-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Motivated by the work of Kuo et al. (Ann Phys 132:237–276, 1981), we develop a simple method to compute Goldstone diagrams in the angular momentum coupled scheme. By redefining the cross-coupled matrix elements, we leverage symmetry properties more effectively, leading to simplified diagram factorization rules and promoted computational efficiency. We have successfully applied the rules to one-body tensor operators, and extended similar formulations to two-body tensor operators beyond the work of Kuo et al. (1981).</p></div>\",\"PeriodicalId\":786,\"journal\":{\"name\":\"The European Physical Journal A\",\"volume\":\"61 7\",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-07-15\",\"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/s10050-025-01637-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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal A","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epja/s10050-025-01637-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}
Simplified and more efficient computations of angular-momentum-coupled Goldstone diagrams
Motivated by the work of Kuo et al. (Ann Phys 132:237–276, 1981), we develop a simple method to compute Goldstone diagrams in the angular momentum coupled scheme. By redefining the cross-coupled matrix elements, we leverage symmetry properties more effectively, leading to simplified diagram factorization rules and promoted computational efficiency. We have successfully applied the rules to one-body tensor operators, and extended similar formulations to two-body tensor operators beyond the work of Kuo et al. (1981).
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