How to renormalize coupled cluster theory
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866914679298719744 |
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| author | Sun, Z. H. Bell, C. A. Hagen, G. Papenbrock, T. |
| author_facet | Sun, Z. H. Bell, C. A. Hagen, G. Papenbrock, T. |
| contents | Coupled cluster theory is an attractive tool to solve the quantum many-body problem because its singles and doubles (CCSD) approximation is computationally affordable and yields about 90% of the correlation energy. Capturing the remaining 10%, e.g. via including triples, is numerically expensive. Here we assume that short-range three-body correlations dominate and - following Lepage [How to renormalize the Schrödinger equation, arXiv:nucl-th/9706029] - that their effects can be included within CCSD by renormalizing the three-body contact interaction. We renormalize this contact in $^{16}$O and obtain accurate CCSD results for $^{24}$O, $^{20-34}$Ne, $^{40,48}$Ca, $^{78}$Ni, $^{90}$Zr, and $^{100}$Sn. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_12990 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | How to renormalize coupled cluster theory Sun, Z. H. Bell, C. A. Hagen, G. Papenbrock, T. Nuclear Theory Coupled cluster theory is an attractive tool to solve the quantum many-body problem because its singles and doubles (CCSD) approximation is computationally affordable and yields about 90% of the correlation energy. Capturing the remaining 10%, e.g. via including triples, is numerically expensive. Here we assume that short-range three-body correlations dominate and - following Lepage [How to renormalize the Schrödinger equation, arXiv:nucl-th/9706029] - that their effects can be included within CCSD by renormalizing the three-body contact interaction. We renormalize this contact in $^{16}$O and obtain accurate CCSD results for $^{24}$O, $^{20-34}$Ne, $^{40,48}$Ca, $^{78}$Ni, $^{90}$Zr, and $^{100}$Sn. |
| title | How to renormalize coupled cluster theory |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2205.12990 |