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, identical 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 N7 provides an excellent approximation of the full three-body treatment.
| Original language | English |
|---|---|
| Article number | 044316 |
| Journal | Physical Review C |
| Volume | 110 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 2024 |
Funding
S.R.S. would like to thank Matthias Heinz for help on optimizing the implementation and finding a typo in the commutator expressions, and Heiko Hergert for helpful feedback on the paper. S.R.S. and B.C.H. acknowledge support from the U.S. Department of Energy (DoE), Office of Science, under SciDAC-5 (NUCLEI Collaboration) under Grant No. DE-FG02-97ER41014. This research was supported in part by the Notre Dame's Center for Research Computing. This work benefited from the use of the amc code to validate the -coupled expressions. The imsrg code employed in this work uses the armadillo library .
| Funders | Funder number |
|---|---|
| U.S. Department of Energy | |
| Office of Science | DE-FG02-97ER41014 |
| Office of Science |