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Nuclear Theory·nucl-th

Wednesday·July 31, 2024

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 01

    [Submitted on 30 Jul 2024]

    From Complexity to Clarity: Kolmogorov-Arnold Networks in Nuclear Binding Energy Prediction

    Hao Liu · Jin Lei · Zhongzhou Ren

    This study explores the application of Kolmogorov-Arnold Networks (KANs) in predicting nuclear binding energies, leveraging their ability to decompose complex multi-parameter systems into simpler univariate functions. By utilizing data from the Atomic Mass Evaluation (AME2020) and incorporating features such as atomic number, neutron number, and shell effects, KANs achieved a significant lower root mean square error (0.26~MeV), surpassing traditional models. The symbolic regression analysis yielded simplified analytical expressions for binding energies, aligning with classical models like the liquid drop model and the Bethe-Weizsäcker formula. These results highlight KANs' potential in enhancing the interpretability and understanding of nuclear phenomena, paving the way for future applications in nuclear physics and beyond.

    Comments:
    accepted by Phys. Rev. C
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2407.20737 [pdf]
    PRC(2025)·11 citations
  2. 02

    [Submitted on 30 Jul 2024]

    Spin response of neutron matter in ab initio approach

    J. E. Sobczyk · W. Jiang · A. Roggero

    We propose a general method embedded in the ab initio nuclear framework to reconstruct linear response functions and calculate sum rules. Within our approach, based on the Gaussian integral transform, we consistently treat the groundstate and the excited spectrum. Crucially, the method allows for a robust uncertainty estimation of the spectral reconstruction. We showcase it for the spin response in neutron matter. Our calculations are performed using state-of-the-art many-body coupled-cluster method and Hamiltonians derived in the chiral effective field theory, emphasizing the analysis of finite-size effects. This work serves as a stepping stone towards further studies of neutrino interactions in astrophysical environments from first principles.

    Subjects:
    Nuclear Theory (nucl-th); High Energy Astrophysical Phenomena (astro-ph.HE)
    arXiv:
    2407.20986 [pdf]
    PRL(2025)·8 citations

Affiliations

first authorsco-authorsvia INSPIRE