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Nuclei with up to $\boldsymbol{A=6}$ nucleons with artificial neural network wave functions

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arxiv 2108.06836 v1 pith:S7FTOJAJ submitted 2021-08-15 nucl-th cond-mat.dis-nnquant-ph

Alex Gnech , Corey Adams , Nicholas Brawand , Giuseppe Carleo , Alessandro Lovato , Noemi Rocco This is my paper
classification nucl-thcond-mat.dis-nnquant-ph
keywords nucleiartificialfunctionsneuralnucleonswaveableaccurate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The ground-breaking works of Weinberg have opened the way to calculations of atomic nuclei that are based on systematically improvable Hamiltonians. Solving the associated many-body Schr\"odinger equation involves non-trivial difficulties, due to the non-perturbative nature and strong spin-isospin dependence of nuclear interactions. Artificial neural networks have proven to be able to compactly represent the wave functions of nuclei with up to $A=4$ nucleons. In this work, we extend this approach to $^6$Li and $^6$He nuclei, using as input a leading-order pionless effective field theory Hamiltonian. We successfully benchmark their binding energies, point-nucleon densities, and radii with the highly accurate hyperspherical harmonics method.

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Cited by 3 Pith papers

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

  1. Meson-Nucleus Bound States with Neural-Network Quantum States

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Neural-network quantum states applied to HAL QCD meson-nucleon potentials predict bound states for phi at A>=2, J/psi at A>=4, and eta_c at A>=6, with binding energies from tens of MeV to sub-MeV scales.

  2. Light nuclear scattering from neural quantum states

    nucl-th 2026-05 unverdicted novelty 7.0 of 10

    Neural quantum states plus minimum principles compute elastic and inelastic neutron-deuteron scattering observables with conservative uncertainties, without time evolution.

  3. 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.

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