Abstract
Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena and in particular in the understanding of observed regular patterns in nuclear spectra and selection rules for electromagnetic transitions. A variety of symmetry-based nuclear models have been developed in nuclear physics, providing efficient tools of choice to interpret nuclear spectroscopic data. This chapter provides a pedagogical introduction to the basic idea of symmetry-breaking mechanism and symmetry-restoration methods in modeling atomic nuclei.
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Acknowledgements
I would like to thank J. Meng for constructive discussion during the preparation of this manuscript and I. Ivanov for his careful reading of it. Besides, I thank all my collaborators in the development of symmetry-restoration methods starting from various nucleon-nucleon interactions or energy density functionals, including B. Bally, M. Bender, J. Engel, Y. Fu, K. Hagino, P.-H. Heenen, H. Hergert, C.F. Jiao, Z. P. Li, H. Mei, P. Ring, T. R. Rodriguez, D. Vretenar, X. Y. Wu, E.F. Zhou, and many others. This work was supported in part by the National Natural Science Foundation of China (Grant No. 12141501) and the Fundamental Research Funds for the Central Universities, Sun Yat-sen University.
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Yao, J.M. (2022). Symmetry Restoration Methods. In: Tanihata, I., Toki, H., Kajino, T. (eds) Handbook of Nuclear Physics . Springer, Singapore. https://doi.org/10.1007/978-981-15-8818-1_18-1
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