English

Solving two and three-body systems with deep neural networks

High Energy Physics - Phenomenology 2025-07-24 v1 Nuclear Theory

Abstract

We develop a new method for solving two- and three-body bound state problems using unsupervised machine learning techniques. We use a deep neural network to calculate both simple and realistic potentials, obtaining the properties of the deuteron and triton bound states for the chiral effective field theory NN potential. Our results provide significant accuracy with no prior assumptions about the behaviour of the wave function. This neural network technique, which extends from two-body to three-body, may provide insight into potential solutions to the nuclear and hadronic many-body problems.

Keywords

Cite

@article{arxiv.2507.17559,
  title  = {Solving two and three-body systems with deep neural networks},
  author = {Ruitian Li and Xuan Luo and Hao Sun and Pablo G. Ortega},
  journal= {arXiv preprint arXiv:2507.17559},
  year   = {2025}
}

Comments

14 pages, 11 figures, 4 tables

R2 v1 2026-07-01T04:15:23.105Z