IMSRG with flowing 3 body operators, and approximations thereof

B. C. He; S. R. Stroberg; T. D. Morris

IMSRG with flowing 3 body operators, and approximations thereof

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arxiv 2406.13010 v2 pith:F4AVQ4LU submitted 2024-06-18 nucl-th

S. R. Stroberg , T. D. Morris , B. C. He This is my paper · ORCID

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keywords imsrgapproximationsoperatorsretainingthree-bodyapproximationbodycarbon

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abstract

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.

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Improved structure of calcium isotopes from ab initio calculations
nucl-th 2024-11 conditional novelty 6.0 of 10

IMSRG(3)-N7 calculations for calcium-44, -48, and -52 show that three-body flow corrections substantially lower the 48Ca 2+ energy, improving the description of the N=28 shell closure, while leaving the 52Ca charge-ra...

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