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Main Authors: Li, Ruitian, Luo, Xuan, Sun, Hao, Ortega, Pablo G.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.17559
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author Li, Ruitian
Luo, Xuan
Sun, Hao
Ortega, Pablo G.
author_facet Li, Ruitian
Luo, Xuan
Sun, Hao
Ortega, Pablo G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17559
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Solving two and three-body systems with deep neural networks
Li, Ruitian
Luo, Xuan
Sun, Hao
Ortega, Pablo G.
High Energy Physics - Phenomenology
Nuclear Theory
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.
title Solving two and three-body systems with deep neural networks
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2507.17559