How to renormalize coupled cluster theory

Abstract

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.

7 pages, 4 figures

References in corpus (14)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• A nucleus-dependent valence-space approach to nuclear structure
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• In-Medium Similarity Renormalization Group for Nuclei
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• In-medium similarity renormalization group with three-body operators
• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• Ultraviolet extrapolations in finite oscillator bases
• Scale dependence of deuteron electrodisintegration

Cited by in corpus (6)

• What is ab initio in nuclear theory?
• Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr
• Ab initio computations from ${}^{78}$Ni towards ${}^{70}$Ca along neutron number $N=50$
• Coupled-cluster theory for strong entanglement in nuclei
• Exactness of the normal-ordered two-body truncation of three-nucleon forces
• From closed shells to open shells: Coupled-cluster calculations of atomic nuclei