Extremely large oblate deformation of the first excited state in $^{12}$C: a new challenge to modern nuclear theory
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| Main Authors: | , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2025
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| author | Ngwetsheni, C. Orce, J. N. Navrátil, P. Garrett, P. E. Faestermann, T. Bergmaier, A. Frosini, M. Bildstein, V. Brown, B. A. Burbadge, C. Duguet, T. Hadyńska-Klȩk, K. Mahgoub, M. Mehl, C. V. Pastore, A. Radich, A. Triambak, S. |
| author_facet | Ngwetsheni, C. Orce, J. N. Navrátil, P. Garrett, P. E. Faestermann, T. Bergmaier, A. Frosini, M. Bildstein, V. Brown, B. A. Burbadge, C. Duguet, T. Hadyńska-Klȩk, K. Mahgoub, M. Mehl, C. V. Pastore, A. Radich, A. Triambak, S. |
| contents | A Coulomb-excitation study of the high-lying first excited state at 4.439 MeV in the nucleus $^{12}$C has been carried out using the $^{208}$Pb($^{12}$C,$^{12}$C$^*$)$^{208}$Pb$^*$ reaction at 56 MeV and the {\sc Q3D} magnetic spectrograph at the Maier-Leibnitz Laboratorium in Munich. High-statistics achieved with an average beam intensity of approximately 10$^{11}$ ions/s together with state-of-the-art {\it ab initio} calculations of the nuclear dipole polarizability permitted the accurate determination of the spectroscopic quadrupole moment, $Q_{_S}(2_{_1}^+) = +0.076(30)$~eb, in agreement with previous measurements. Combined with previous work, a weighted average of $Q_{_S}(2_{_1}^+) = +0.090(14)$ eb is determined, which includes the re-analysis of a similar experiment by Vermeer and collaborators, $Q_{_S}(2_{_1}^+) = +0.103(20)$~eb. Such a large oblate deformation challenges modern nuclear theory and emphasizes the need of $α$ clustering and associated triaxiality effects for full convergence of $E2$ collective properties. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_03236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremely large oblate deformation of the first excited state in $^{12}$C: a new challenge to modern nuclear theory Ngwetsheni, C. Orce, J. N. Navrátil, P. Garrett, P. E. Faestermann, T. Bergmaier, A. Frosini, M. Bildstein, V. Brown, B. A. Burbadge, C. Duguet, T. Hadyńska-Klȩk, K. Mahgoub, M. Mehl, C. V. Pastore, A. Radich, A. Triambak, S. Nuclear Experiment Nuclear Theory Data Analysis, Statistics and Probability A Coulomb-excitation study of the high-lying first excited state at 4.439 MeV in the nucleus $^{12}$C has been carried out using the $^{208}$Pb($^{12}$C,$^{12}$C$^*$)$^{208}$Pb$^*$ reaction at 56 MeV and the {\sc Q3D} magnetic spectrograph at the Maier-Leibnitz Laboratorium in Munich. High-statistics achieved with an average beam intensity of approximately 10$^{11}$ ions/s together with state-of-the-art {\it ab initio} calculations of the nuclear dipole polarizability permitted the accurate determination of the spectroscopic quadrupole moment, $Q_{_S}(2_{_1}^+) = +0.076(30)$~eb, in agreement with previous measurements. Combined with previous work, a weighted average of $Q_{_S}(2_{_1}^+) = +0.090(14)$ eb is determined, which includes the re-analysis of a similar experiment by Vermeer and collaborators, $Q_{_S}(2_{_1}^+) = +0.103(20)$~eb. Such a large oblate deformation challenges modern nuclear theory and emphasizes the need of $α$ clustering and associated triaxiality effects for full convergence of $E2$ collective properties. |
| title | Extremely large oblate deformation of the first excited state in $^{12}$C: a new challenge to modern nuclear theory |
| topic | Nuclear Experiment Nuclear Theory Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2506.03236 |