Quantum-number projected generator coordinate method for $^{21}$Ne with a chiral two-nucleon-plus-three-nucleon interaction
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929522070257664 |
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| author | Lin, W. Zhou, E. F. Yao, J. M. Hergert, H. |
| author_facet | Lin, W. Zhou, E. F. Yao, J. M. Hergert, H. |
| contents | We report a study of the low-lying states of deformed $^{21}$Ne within the framework of quantum-number projected generator coordinate method (PGCM), starting from a chiral two-nucleon-plus-three-nucleon (NN+3N) interaction. The wave functions of states are constructed as a linear combination of a set of axially-deformed Hartree-Fock-Bogliubov (HFB) wave functions with different quadrupole deformations. These HFB wave functions are projected onto different angular momenta and the correct neutron and proton numbers for $^{21}$Ne. The results of calculations based on the effective Hamiltonians derived by normal-ordering the 3N interaction with respect to three different reference states, including the quantum-number projected HFB wave functions for $^{20}$Ne, $^{22}$Ne, and an ensemble of them with equal weights, are compared. This study serves as a key step towards ab initio calculations of odd-mass deformed nuclei with the in-medium GCM. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_01177 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum-number projected generator coordinate method for $^{21}$Ne with a chiral two-nucleon-plus-three-nucleon interaction Lin, W. Zhou, E. F. Yao, J. M. Hergert, H. Nuclear Theory Nuclear Experiment We report a study of the low-lying states of deformed $^{21}$Ne within the framework of quantum-number projected generator coordinate method (PGCM), starting from a chiral two-nucleon-plus-three-nucleon (NN+3N) interaction. The wave functions of states are constructed as a linear combination of a set of axially-deformed Hartree-Fock-Bogliubov (HFB) wave functions with different quadrupole deformations. These HFB wave functions are projected onto different angular momenta and the correct neutron and proton numbers for $^{21}$Ne. The results of calculations based on the effective Hamiltonians derived by normal-ordering the 3N interaction with respect to three different reference states, including the quantum-number projected HFB wave functions for $^{20}$Ne, $^{22}$Ne, and an ensemble of them with equal weights, are compared. This study serves as a key step towards ab initio calculations of odd-mass deformed nuclei with the in-medium GCM. |
| title | Quantum-number projected generator coordinate method for $^{21}$Ne with a chiral two-nucleon-plus-three-nucleon interaction |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2403.01177 |