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Machine learning approach to pattern recognition in nuclear dynamics from the ab initio symmetry-adapted no-core shell model

Journal Article · · Physical Review. C
 [1];  [2];  [3];  [2];  [4];  [2]
  1. Louisiana State Univ., Baton Rouge, LA (United States); OSTI
  2. Louisiana State Univ., Baton Rouge, LA (United States)
  3. Louisiana State Univ., Baton Rouge, LA (United States); Yale Univ., New Haven, CT (United States). Sloane Physics Laboratory
  4. Louisiana State Univ., Baton Rouge, LA (United States); Academy of Sciences of the Czech Republic (Czech Republic)
A novel machine learning approach is used to provide further insight into atomic nuclei and to detect orderly patterns amid a vast data of large-scale calculations. The method utilizes a neural network that is trained on ab initio results from the symmetry-adapted no-core shell model (SA-NCSM) for light nuclei. We show that the SA-NCSM, which expands ab initio applications up to medium-mass nuclei by using dominant symmetries of nuclear dynamics, can reach heavier nuclei when coupled with the machine learning approach. In particular, we find that a neural network trained on probability amplitudes for s- and p-shell nuclear wave functions not only predicts dominant configurations for heavier nuclei but in addition, when tested for the 20Ne ground state, accurately reproduces the probability distribution. The non-negligible configurations predicted by the network provide an important input to the SA-NCSM for reducing ultralarge model spaces to manageable sizes that can be, in turn, utilized in SA-NCSM calculations to obtain accurate observables. The neural network is capable of describing nuclear deformation and is used to track the shape evolution along the 20-42Mg isotopic chain, suggesting a shape coexistence that is more pronounced toward the very neutron-rich isotopes. We provide first descriptions of the structure and deformation of 24Si and 40Mg of interest to x-ray burst nucleosynthesis, and even of the extremely heavy nuclei such as 166,168Er and 236U, that build on first-principles considerations.
Research Organization:
Univ. of California, Oakland, CA (United States); Yale Univ., New Haven, CT (United States)
Sponsoring Organization:
Czech Science Foundation; National Science Foundation (NSF); USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231; SC0019521
OSTI ID:
1979864
Journal Information:
Physical Review. C, Journal Name: Physical Review. C Journal Issue: 3 Vol. 105; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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