Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915237429510144 |
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| author | Zhou, E. F. Ding, C. R. Yao, J. M. Bally, B. Hergert, H. Jiao, C. F. Rodríguez, T. R. |
| author_facet | Zhou, E. F. Ding, C. R. Yao, J. M. Bally, B. Hergert, H. Jiao, C. F. Rodríguez, T. R. |
| contents | We extend a nuclear ab initio framework based on chiral two- and three-nucleon interactions to investigate shape coexistence and the degradation of the $N=20$ magic number in both even-even and odd-even magnesium isotopes. The quantum-number projected generator coordinate method, combined with the in-medium similarity renormalization group (IMSRG), is employed to compute their low-lying states. This approach reasonably reproduces the coexistence of weakly and strongly deformed states at comparable energies, and allows us to track the emergence of the $N=20$ island of inversion through the continuous IMSRG evolution of the chiral Hamiltonian. Our results indicate that the ground state of $^{33}$Mg with spin-parity $3/2^-$ is predominantly a strongly deformed configuration with $K^π= 3/2^-$, while the lowest $7/2^-$ state is predicted to be a shape isomer, consisting of a mixture of weakly deformed configurations with different $K$ values. The results highlight the essential roles of both dynamical and static collective correlations in reproducing the ordering of nuclear states with distinct shapes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$ Zhou, E. F. Ding, C. R. Yao, J. M. Bally, B. Hergert, H. Jiao, C. F. Rodríguez, T. R. Nuclear Theory Nuclear Experiment We extend a nuclear ab initio framework based on chiral two- and three-nucleon interactions to investigate shape coexistence and the degradation of the $N=20$ magic number in both even-even and odd-even magnesium isotopes. The quantum-number projected generator coordinate method, combined with the in-medium similarity renormalization group (IMSRG), is employed to compute their low-lying states. This approach reasonably reproduces the coexistence of weakly and strongly deformed states at comparable energies, and allows us to track the emergence of the $N=20$ island of inversion through the continuous IMSRG evolution of the chiral Hamiltonian. Our results indicate that the ground state of $^{33}$Mg with spin-parity $3/2^-$ is predominantly a strongly deformed configuration with $K^π= 3/2^-$, while the lowest $7/2^-$ state is predicted to be a shape isomer, consisting of a mixture of weakly deformed configurations with different $K$ values. The results highlight the essential roles of both dynamical and static collective correlations in reproducing the ordering of nuclear states with distinct shapes. |
| title | Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$ |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2410.23113 |