Center-of-mass problem in truncated configuration interaction and coupled-cluster calculations

Abstract

The problem of center-of-mass (CM) contaminations in ab initio nuclear structure calculations using configuration interaction (CI) and coupled-cluster (CC) approaches is analyzed. A rigorous and quantitative scheme for diagnosing the CM contamination of intrinsic observables is proposed and applied to ground-state calculations for He-4 and O-16. The CI and CC calculations for O-16 based on model spaces defined via a truncation of the single-particle basis lead to sizable CM contaminations, while the importance-truncated no-core shell model based on the $N_{\max }\hslash \Omega$ space is virtually free of CM contaminations.

6 pages, 1 figure, 2 tables; v2: minor modifications, Phys. Lett. B in print

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Cited by in corpus (10)

• Coupled-cluster computations of atomic nuclei
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians
• Extrapolation uncertainties in the importance-truncated No-Core Shell Model
• Natural orbitals for the ab initio no-core configuration interaction approach
• Ab-initio calculation of the ${}^{6}Li$ binding energy with the Hybrid Multideterminant scheme
• Normal-ordering approximations and translational (non) invariance
• Removing center of mass effects in response function and sum rule calculations based on the harmonic oscillator basis