Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910012355379200 |
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| author | Marino, Francesco Jiang, Weiguang Novario, Samuel J. |
| author_facet | Marino, Francesco Jiang, Weiguang Novario, Samuel J. |
| contents | A comparative study of the equation of state for pure neutron matter and symmetric nuclear matter is presented using three ab initio methods based on diagrammatic expansions: coupled-cluster theory, self-consistent Green's functions, and many-body perturbation theory. We critically evaluate these methods by employing different chiral potentials at next-to-next-to-leading-order -- all of which include both two- and three-nucleon contributions -- and by exploring various many-body truncations. Our investigation yields highly precise results for pure neutron matter and robust predictions for symmetric nuclear matter, particularly with soft interactions. Moreover, the new calculations demonstrate that the $\rm{ NNLO_{sat} }(450)$ and $Δ\rm{NNLO_{go}}(394)$ potentials are consistent with the empirical constraints on the saturation point of symmetric nuclear matter. Additionally, this benchmark study reveals that diagrammatic expansions with similar architectures lead to consistent many-body correlations, even when applied across different methods. This consistency underscores the robustness of the diagrammatic approach in capturing the essential physics of nucleonic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17098 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions Marino, Francesco Jiang, Weiguang Novario, Samuel J. Nuclear Theory Quantum Gases Strongly Correlated Electrons A comparative study of the equation of state for pure neutron matter and symmetric nuclear matter is presented using three ab initio methods based on diagrammatic expansions: coupled-cluster theory, self-consistent Green's functions, and many-body perturbation theory. We critically evaluate these methods by employing different chiral potentials at next-to-next-to-leading-order -- all of which include both two- and three-nucleon contributions -- and by exploring various many-body truncations. Our investigation yields highly precise results for pure neutron matter and robust predictions for symmetric nuclear matter, particularly with soft interactions. Moreover, the new calculations demonstrate that the $\rm{ NNLO_{sat} }(450)$ and $Δ\rm{NNLO_{go}}(394)$ potentials are consistent with the empirical constraints on the saturation point of symmetric nuclear matter. Additionally, this benchmark study reveals that diagrammatic expansions with similar architectures lead to consistent many-body correlations, even when applied across different methods. This consistency underscores the robustness of the diagrammatic approach in capturing the essential physics of nucleonic systems. |
| title | Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions |
| topic | Nuclear Theory Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2407.17098 |