Searching for Nuclei Exhibiting the Critical Point Symmetry X(4) | ||||
| Arab Journal of Nuclear Sciences and Applications | ||||
| Volume 57, Issue 3, July 2024, Page 44-50 PDF (592.93 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/ajnsa.2024.288521.1817 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
M. Abdel-Mageed   1; Mohamed Abdel-Mageed 2
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| 1Department of Physics, Faculty of Science, Zagazig University, Zagazig, Egypt | ||||
| 2Zagazig University, Zagazig, Egypt | ||||
| Abstract | ||||
| Through the application of the geometrical collective model, a number of nuclei have been subjected to an exhaustive investigation. A complete investigation has been conducted on the nuclei, which have a range of 2.60 ≤ R 4/2 ≤ 2.80. A comparative investigation was carried out in order to make a determination regarding the characteristics of the low-lying collective structure. A comparison was made between the energy levels that were measured for each individual nucleus and three distinct sets of theoretical calculations that were derived from the X(3), X(4), and X (5) models. For the purpose of this analysis, a comparison was made between the theoretical calculations and the experimentally measured energy levels. The nucleus that exhibits features that are consistent with the X(4) model is the target that is being sought after during the detection operation. For the entirety of this study, a certain set of criteria has been developed and put through a comprehensive analysis. There was a limited number of nuclei that were able to fulfill these requirements entirely. | ||||
| Keywords | ||||
| Shape-phase transition; Geometric collective model; Spectral properties of nuclei near the critical point; quantum phase transition between; Low-lying collective structure | ||||
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