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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.13010 |
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| _version_ | 1866929664406061056 |
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| author | Stroberg, S. R. Morris, T. D. He, B. C. |
| author_facet | Stroberg, S. R. Morris, T. D. He, B. C. |
| contents | We explore the impact of retaining three-body operators within the in-medium similarity renormalization group (IMSRG), as well as various approximations schemes. After studying two toy problems, idential fermions with a contact interaction and the Lipkin-Meshkov-Glick model, we employ the valence-space formulation of the IMSRG to investigate the even-$A$ carbon isotopes with a chiral two-body potential. We find that retaining only those commutators expressions that scale as $N^7$ provides an excellent approximation of the full three-body treatment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13010 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | IMSRG with flowing 3 body operators, and approximations thereof Stroberg, S. R. Morris, T. D. He, B. C. Nuclear Theory We explore the impact of retaining three-body operators within the in-medium similarity renormalization group (IMSRG), as well as various approximations schemes. After studying two toy problems, idential fermions with a contact interaction and the Lipkin-Meshkov-Glick model, we employ the valence-space formulation of the IMSRG to investigate the even-$A$ carbon isotopes with a chiral two-body potential. We find that retaining only those commutators expressions that scale as $N^7$ provides an excellent approximation of the full three-body treatment. |
| title | IMSRG with flowing 3 body operators, and approximations thereof |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2406.13010 |