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Statistical learnability of nuclear masses

Idini, A. LU orcid (2020) In Physical Review Research 2(4).
Abstract

After more than 80 years from the seminal work of Weizsäcker and the liquid drop model of the atomic nucleus, deviations from experiments of mass models (~MeV) are orders of magnitude larger than experimental errors (~keV). Predicting the mass of atomic nuclei with precision is extremely challenging. This is due to the nontrivial many-body interplay of protons and neutrons in nuclei, and the complex nature of the nuclear strong force. Statistical theory of learning will be used to provide the bounds to prediction errors of a model trained with a finite data set. These bounds are validated with neural network models and compared with state of the art mass models. It will be argued that nuclear structure mass models explore a system on... (More)

After more than 80 years from the seminal work of Weizsäcker and the liquid drop model of the atomic nucleus, deviations from experiments of mass models (~MeV) are orders of magnitude larger than experimental errors (~keV). Predicting the mass of atomic nuclei with precision is extremely challenging. This is due to the nontrivial many-body interplay of protons and neutrons in nuclei, and the complex nature of the nuclear strong force. Statistical theory of learning will be used to provide the bounds to prediction errors of a model trained with a finite data set. These bounds are validated with neural network models and compared with state of the art mass models. It will be argued that nuclear structure mass models explore a system on the limit of the precision bounds, as defined by the statistical theory of learning.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Research
volume
2
issue
4
article number
043363
publisher
American Physical Society
external identifiers
  • scopus:85115895613
ISSN
2643-1564
DOI
10.1103/PhysRevResearch.2.043363
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2020 authors. Published by the American Physical Society. Funded by "https://www.kb.se/samverkan-och-utveckling/oppen-tillgang-och-bibsamkonsortiet/bibsamkonsortiet.html"Bibsam.
id
17961584-f6e8-4701-a9c7-c673074f7851
date added to LUP
2021-10-25 13:45:45
date last changed
2022-12-19 21:33:22
@article{17961584-f6e8-4701-a9c7-c673074f7851,
  abstract     = {{<p>After more than 80 years from the seminal work of Weizsäcker and the liquid drop model of the atomic nucleus, deviations from experiments of mass models (~MeV) are orders of magnitude larger than experimental errors (~keV). Predicting the mass of atomic nuclei with precision is extremely challenging. This is due to the nontrivial many-body interplay of protons and neutrons in nuclei, and the complex nature of the nuclear strong force. Statistical theory of learning will be used to provide the bounds to prediction errors of a model trained with a finite data set. These bounds are validated with neural network models and compared with state of the art mass models. It will be argued that nuclear structure mass models explore a system on the limit of the precision bounds, as defined by the statistical theory of learning.</p>}},
  author       = {{Idini, A.}},
  issn         = {{2643-1564}},
  language     = {{eng}},
  number       = {{4}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Research}},
  title        = {{Statistical learnability of nuclear masses}},
  url          = {{http://dx.doi.org/10.1103/PhysRevResearch.2.043363}},
  doi          = {{10.1103/PhysRevResearch.2.043363}},
  volume       = {{2}},
  year         = {{2020}},
}