https://doi.org/10.1140/epja/s10050-025-01637-y
Regular Article - Theoretical Physics
Simplified and more efficient computations of angular-momentum-coupled Goldstone diagrams
1
State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, 100871, Beijing, China
2
Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, 516000, Huizhou, China
Received:
16
February
2025
Accepted:
3
July
2025
Published online:
15
July
2025
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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
