Exact restoration of Galilei invariance in density functional calculations with quantum Monte Carlo

Abstract

Galilean invariance is usually violated in self-consistent mean-field calculations that employ effective density-dependent nuclear forces. We present a novel approach, based on variational quantum Monte Carlo techniques, suitable to preserve this symmetry and assess the effect of its violation, seldom attempted in the past. To this aim, we generalize the linear optimization method to encompass the density-dependence of effective Hamiltonians, and study ${}^4$He, ${}^{16}$O, and ${}^{40}$Ca ground-state properties employing the Gogny interaction.

arXiv comment24 pages, 6 figures

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Cited by in corpus (6)

• Symmetry restoration in mean-field approaches
• Variational Monte Carlo calculations of $\mathbf{A}\le 4$ nuclei with an artificial neural-network correlator ansatz
• Nuclei with up to $\mathbf{A}=6$ nucleons with artificial neural network wave functions
• High-resolution momentum distributions from low-resolution wave functions
• Effects of optical lattices on bright solitons in spin-orbit coupled Bose-Einstein condensates
• Chiral symmetry and peripheral neutron-$\alpha$ scattering