Iterative solutions of the ATDHFB equations to determine the nuclear collective inertia
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910965719629824 |
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| author | Sun, Xuwei Dobaczewski, Jacek Kortelainen, Markus Muir, David Sadhukhan, Jhilam Sánchez-Fernández, Adrian Wibowo, Herlik |
| author_facet | Sun, Xuwei Dobaczewski, Jacek Kortelainen, Markus Muir, David Sadhukhan, Jhilam Sánchez-Fernández, Adrian Wibowo, Herlik |
| contents | An iterative adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method is developed within the framework of Skyrme density functional theory. The ATDHFB equation is solved iteratively to avoid explicitly calculating the stability matrix. The contribution of the time-odd mean fields to the ATDHF(B) moment of inertia is incorporated self-consistently, and the results are verified by comparing them with the dynamical cranking predictions. The inertia mass tensor is calculated with the density-derivative term evaluated by numerical differentiation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iterative solutions of the ATDHFB equations to determine the nuclear collective inertia Sun, Xuwei Dobaczewski, Jacek Kortelainen, Markus Muir, David Sadhukhan, Jhilam Sánchez-Fernández, Adrian Wibowo, Herlik Nuclear Theory An iterative adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method is developed within the framework of Skyrme density functional theory. The ATDHFB equation is solved iteratively to avoid explicitly calculating the stability matrix. The contribution of the time-odd mean fields to the ATDHF(B) moment of inertia is incorporated self-consistently, and the results are verified by comparing them with the dynamical cranking predictions. The inertia mass tensor is calculated with the density-derivative term evaluated by numerical differentiation. |
| title | Iterative solutions of the ATDHFB equations to determine the nuclear collective inertia |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2411.18404 |