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

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arxiv 1808.00518 v2 pith:JQBASZC5 submitted 2018-08-01 nucl-th

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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Medium-mass nuclei with neural quantum states

    nucl-th 2026-07 conditional novelty 6.5 of 10

    Pfaffian-Jastrow neural quantum states yield ground-state energies and charge radii for nuclei up to A=58, with weak p-wave terms reducing average energy error to ~3% while revealing Hamiltonian sensitivity and A^3 scaling.

  2. Hypernuclei with Neural Network Quantum States

    nucl-th 2025-07 conditional novelty 6.0 of 10

    Neural network quantum states, extended to include Lambda hyperons, reproduce hypernuclear separation energies to within roughly 9% and predict the observed proton-radius shrinkage in 7ΛLi.

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