Variational Calculations of Nuclei with Low-Momentum Potentials

Abstract

Variational calculations of the deuteron and the triton illustrate that simple wave function ansätze become more effective after evolving the nucleon-nucleon potential to lower momentum (``$V_{lowk}$''). This is consistent with many-body wave functions becoming much less correlated at lower cutoffs, as shown by two-particle wave functions and pair-distribution functions in nuclear matter. These results motivate a program to explore variational many-body calculations of binding energies and other low-energy nuclear properties using low-momentum potentials.

12 pages, 6 figures

References in corpus (4)

• Quantum Monte Carlo calculations of excited states in A = 6--8 nuclei
• Is nuclear matter perturbative with low-momentum interactions?
• Effective operators within the ab initio no-core shell model
• Shell-model phenomenology of low-momentum interactions

Cited by in corpus (14)

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• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
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• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• Machine learning the deuteron
• Convergence of the Born Series with Low-Momentum Interactions
• Eft for DFT
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• The charge-dependent Bonn potentials with pseudovector pion-nucleon coupling
• Variational Calculations using Low-Momentum Potentials with Smooth Cutoffs
• Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables
• A nonperturbative parametrization and scenario for EFT renormalization