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DOE OSTI · 1824803

Nuclei with Up to $$\varvec{A=6}$$ Nucleons with Artificial Neural Network Wave Functions

Gnech, Alex·Adams, Corey·Brawand, Nicholas·Carleo, Giuseppe·Lovato, Alessandro·Rocco, Noemi
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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 Schrödinger 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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73 NUCLEAR PHYSICS AND RADIATION PHYSICS74 ATOMIC AND MOLECULAR PHYSICS

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Gnech, Alex, Adams, Corey, Brawand, Nicholas, Carleo, Giuseppe, Lovato, Alessandro, Rocco, Noemi. 2021-12-09. Nuclei with Up to $$\varvec{A=6}$$ Nucleons with Artificial Neural Network Wave Functions. https://doi.org/10.1007/s00601-021-01706-0

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