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Precise neural network predictions of energies and radii from the no-core shell model

Tobias Wolfgruber, Marco Knöll, and Robert Roth
Phys. Rev. C 110, 014327 – Published 25 July 2024

Abstract

For light nuclei, ab initio many-body methods such as the no-core shell model are the tools of choice for predictive, high-precision nuclear structure calculations. The applicability and the level of precision of these methods, however, is limited by the model-space truncation that has to be employed to make such computations feasible. We present a universal framework based on artificial neural networks to predict the value of observables for an infinite model-space size based on finite-size no-core shell model data. Expanding upon our previous ansatz of training the neural networks to recognize the observable-specific convergence pattern with data from few-body nuclei, we improve the results obtained for ground-state energies and show a way to handle excitation energies within this framework. Furthermore, we extend the framework to the prediction of converged root-mean-square radii, which are more difficult due to the much less constrained convergence behavior. For all observables robust and statistically significant uncertainties are extracted via the sampling over a large number of network realizations and evaluation data samples.

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  • Received 21 December 2023
  • Accepted 28 June 2024

DOI:https://doi.org/10.1103/PhysRevC.110.014327

©2024 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Tobias Wolfgruber1,*, Marco Knöll1, and Robert Roth1,2,†

  • 1Institut für Kernphysik, Fachbereich Physik, Technische Universität Darmstadt, Schlossgartenstr. 2, 64289 Darmstadt, Germany
  • 2Helmholtz Forschungsakademie Hessen für FAIR, GSI Helmholtzzentrum, 64289 Darmstadt, Germany

  • *Contact author: tobias.wolfgruber@physik.tu-darmstadt.de
  • Contact author: robert.roth@physik.tu-darmstadt.de

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Issue

Vol. 110, Iss. 1 — July 2024

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