NucleiML: A machine learning framework of ground-state properties of finite nuclei for accelerated Bayesian exploration

Fuente: arXiv
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Main Authors: Venneti, Anagh, Mondal, Chiranjib, Imam, Sk Md Adil, Banik, Sarmistha, Agrawal, Bijay K.
Format: Preprint
Published: 2025
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author Venneti, Anagh
Mondal, Chiranjib
Imam, Sk Md Adil
Banik, Sarmistha
Agrawal, Bijay K.
author_facet Venneti, Anagh
Mondal, Chiranjib
Imam, Sk Md Adil
Banik, Sarmistha
Agrawal, Bijay K.
contents The global behavior of the nuclear equation of state (EoS) is commonly studied using data from finite nuclei (FN), heavy-ion collisions, and astrophysical observations of neutron stars (NS). The constraints derived from FN such as binding energies and charge radii play the most crucial role in shaping the EoS up to saturation density. The computational cost associated with explicitly incorporating these constraints presents a significant challenge especially when the aim is to explore the model uncertainties rather than optimizing a single model. We address this by introducing NucleiML (NML), a machine learning framework trained on ground-state properties of a few finite nuclei generated by a relativistic mean-field model. NML allows us to integrate FN and NS properties within a Bayesian inference framework in an efficient manner. The results demonstrate reasonable accuracy and a speedup of $\sim 10^4$ times for calculation of FN properties for a single parameter set, yielding roughly $\sim 10^3 \times$ speed up in the Bayesian framework. The present study makes the case for extending the work to a larger set of nuclei, potentially enabling future studies of NS properties to incorporate the whole nuclear chart.
format Preprint
id arxiv_https___arxiv_org_abs_2504_03333
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle NucleiML: A machine learning framework of ground-state properties of finite nuclei for accelerated Bayesian exploration
Venneti, Anagh
Mondal, Chiranjib
Imam, Sk Md Adil
Banik, Sarmistha
Agrawal, Bijay K.
Nuclear Theory
High Energy Astrophysical Phenomena
The global behavior of the nuclear equation of state (EoS) is commonly studied using data from finite nuclei (FN), heavy-ion collisions, and astrophysical observations of neutron stars (NS). The constraints derived from FN such as binding energies and charge radii play the most crucial role in shaping the EoS up to saturation density. The computational cost associated with explicitly incorporating these constraints presents a significant challenge especially when the aim is to explore the model uncertainties rather than optimizing a single model. We address this by introducing NucleiML (NML), a machine learning framework trained on ground-state properties of a few finite nuclei generated by a relativistic mean-field model. NML allows us to integrate FN and NS properties within a Bayesian inference framework in an efficient manner. The results demonstrate reasonable accuracy and a speedup of $\sim 10^4$ times for calculation of FN properties for a single parameter set, yielding roughly $\sim 10^3 \times$ speed up in the Bayesian framework. The present study makes the case for extending the work to a larger set of nuclei, potentially enabling future studies of NS properties to incorporate the whole nuclear chart.
title NucleiML: A machine learning framework of ground-state properties of finite nuclei for accelerated Bayesian exploration
topic Nuclear Theory
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2504.03333