IMSRG with flowing 3 body operators, and approximations thereof

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.

18 pages, 11 figures

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Cited by in corpus (10)

• Improved structure of calcium isotopes from ab initio calculations
• Factorized Approximation to the IMSRG(3)
• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
• Ab initio study of island of inversion in odd-$A$ nuclei: Structure of ${}^{31,33}$Mg
• Evolution of shell structure at $\mathbf{N}=32$ and 34: Insights from realistic nuclear forces
• NuLattice: Ab initio computations of atomic nuclei on lattices
• Spectroscopy of ${}^{52}$K
• Computational schemes for the Magnus expansion of the in-medium similarity renormalization group
• In-Medium Similarity Renormalization Group at Finite Temperature
• Ab initio study of $\beta$-decay and pairing in $N=Z$ nuclei