Convergence in the no-core shell model with low-momentum two-nucleon interactions

Abstract

The convergence of no-core shell model (NCSM) calculations using renormalization group evolved low-momentum two-nucleon interactions is studied for light nuclei up to Li-7. Because no additional transformation was used in applying the NCSM framework, the energy calculations satisfy the variational principle for a given Hamiltonian. Dramatic improvements in convergence are found as the cutoffs are lowered. The renormalization group equations are truncated at two-body interactions, so the evolution is only approximately unitary and converged energies for A > 2 vary with the cutoff. This approximation is systematic, however, and for useful cutoff ranges the energy variation is comparable to natural-size truncation errors inherent from the initial chiral effective field theory potential.

27 pages, 24 figures, improved discussion on running of energies

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Cited by in corpus (11)

• Recent developments in no-core shell-model calculations
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab initio no-core full configuration calculations of light nuclei
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Block Diagonalization using SRG Flow Equations
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• Low-momentum interactions in three- and four-nucleon scattering
• Recent progress in Hamiltonian light-front QCD
• Similarity Renormalization Group for Few-Body Systems