Direct ab initio calculation of the $^{4}$He nuclear electric dipole polarizability
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arXiv
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914910828494848 |
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| author | Yin, Peng Shirokov, Andrey M. Maris, Pieter Fasano, Patrick J. Caprio, Mark A. Li, He Zuo, Wei Vary, James P. |
| author_facet | Yin, Peng Shirokov, Andrey M. Maris, Pieter Fasano, Patrick J. Caprio, Mark A. Li, He Zuo, Wei Vary, James P. |
| contents | The calculation of nuclear electromagnetic sum rules by directly diagonalizing the nuclear Hamiltonian in a large basis is numerically challenging and has not been performed for $A>2$ nuclei. With the significant progress of high performance computing, we show that calculating sum rules using numerous discretized continuum states obtained by directly diagonalizing the ab initio no-core shell model Hamiltonian is achievable numerically. Specifically, we calculate the $^{4}$He electric dipole ($E1$) polarizability, that is an inverse energy weighted sum rule, employing the Daejeon16 $NN$ interaction. We demonstrate that the calculations are numerically tractable as the dimension of the basis increases and are convergent. Our results for the $^{4}$He electric dipole polarizability are consistent with the most recent experimental data and are compared with those of other theoretical studies employing different techniques and various interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09799 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Direct ab initio calculation of the $^{4}$He nuclear electric dipole polarizability Yin, Peng Shirokov, Andrey M. Maris, Pieter Fasano, Patrick J. Caprio, Mark A. Li, He Zuo, Wei Vary, James P. Nuclear Theory The calculation of nuclear electromagnetic sum rules by directly diagonalizing the nuclear Hamiltonian in a large basis is numerically challenging and has not been performed for $A>2$ nuclei. With the significant progress of high performance computing, we show that calculating sum rules using numerous discretized continuum states obtained by directly diagonalizing the ab initio no-core shell model Hamiltonian is achievable numerically. Specifically, we calculate the $^{4}$He electric dipole ($E1$) polarizability, that is an inverse energy weighted sum rule, employing the Daejeon16 $NN$ interaction. We demonstrate that the calculations are numerically tractable as the dimension of the basis increases and are convergent. Our results for the $^{4}$He electric dipole polarizability are consistent with the most recent experimental data and are compared with those of other theoretical studies employing different techniques and various interactions. |
| title | Direct ab initio calculation of the $^{4}$He nuclear electric dipole polarizability |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2405.09799 |