{"title":"Simultaneous analysis of rotational and vibrational spectra in even–even deformed nuclei: a study on \\(^{168}\\)Er","authors":"Su Youn Lee","doi":"10.1007/s40042-024-01219-z","DOIUrl":null,"url":null,"abstract":"<div><p>Theoretical studies of nuclear structure play a crucial role in understanding the collective properties of nuclei. In this study, we investigated the collective properties of even–even deformed nuclei with simultaneous nuclear rotational and vibrational spectra. From the nuclear Hamiltonian, the low-lying energy levels, and interband and intraband <i>E</i>2 transition probabilities were derived analytically. The Hamiltonian proposed in this study is based on the geometrical model proposed by Bohr and Mottelson representing a typical collective model, and the algebraic model proposed by Arima and Iachello. The energy levels and <i>E</i>2 transition ratios of <span>\\(^{168}\\)</span>Er were calculated and compared with the experimental data. This theoretical approach effectively described the structure of the deformed nucleus <span>\\(^{168}\\)</span>Er.</p></div>","PeriodicalId":677,"journal":{"name":"Journal of the Korean Physical Society","volume":"85 12","pages":"977 - 983"},"PeriodicalIF":0.8000,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Physical Society","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s40042-024-01219-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Theoretical studies of nuclear structure play a crucial role in understanding the collective properties of nuclei. In this study, we investigated the collective properties of even–even deformed nuclei with simultaneous nuclear rotational and vibrational spectra. From the nuclear Hamiltonian, the low-lying energy levels, and interband and intraband E2 transition probabilities were derived analytically. The Hamiltonian proposed in this study is based on the geometrical model proposed by Bohr and Mottelson representing a typical collective model, and the algebraic model proposed by Arima and Iachello. The energy levels and E2 transition ratios of \(^{168}\)Er were calculated and compared with the experimental data. This theoretical approach effectively described the structure of the deformed nucleus \(^{168}\)Er.
期刊介绍：
The Journal of the Korean Physical Society (JKPS) covers all fields of physics spanning from statistical physics and condensed matter physics to particle physics. The manuscript to be published in JKPS is required to hold the originality, significance, and recent completeness. The journal is composed of Full paper, Letters, and Brief sections. In addition, featured articles with outstanding results are selected by the Editorial board and introduced in the online version. For emphasis on aspect of international journal, several world-distinguished researchers join the Editorial board. High quality of papers may be express-published when it is recommended or requested.
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