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Nuclear Theory·nucl-th

Thursday·December 5, 2024

8 papers—6 primary·2 cross-listed

All8Primary6Cross-lists2
  1. 07

    [Submitted on 4 Dec 2024] (cross-list from gr-qc)

    General Relativistic Hartree-Fock Calculations for Neutron Star

    Naoki Onishi

    We investigate the global structures of neutron stars within the framework of general relativity, treating the entire star as a quantum-degenerate system. Rather than relying on the Tolman-Oppenheimer-Volkoff (TOV) equation, we solve the Einstein-Cartan (EC) field equations self-consistently, incorporating the energy-momentum tensor contributions from neutrons. Neutron wave functions are obtained by solving the Dirac equation in a curved spacetime with both torsion and curvature effects. Given that neutron stars contain about 10^57 particles, we adopt a scaled h-bar approach to efficiently describe the quantum state of highly degenerate system.

    Comments:
    15 pages
    Subjects:
    General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); Nuclear Theory (nucl-th)
    arXiv:
    2412.02990 [pdf]
    0 citations
  2. 08

    [Submitted on 4 Dec 2024] (cross-list from quant-ph)

    A deep neural network approach to solve the Dirac equation

    Chuanxin Wang · Tomoya Naito · Jian Li · Haozhao Liang

    We extend the method from [Naito, Naito, and Hashimoto, Phys. Rev. Research 5, 033189 (2023)] to solve the Dirac equation not only for the ground state but also for low-lying excited states using a deep neural network and the unsupervised machine learning technique. The variational method fails because of the Dirac sea, which is avoided by introducing the inverse Hamiltonian method. For low-lying excited states, two methods are proposed, which have different performances and advantages. The validity of this method is verified by the calculations with the Coulomb and Woods-Saxon potentials.

    Comments:
    16 pages, 16 figures, 3 tables
    Subjects:
    Quantum Physics (quant-ph); cond-mat.other (cond-mat.other); Nuclear Theory (nucl-th); Atomic Physics (physics.atom-ph); Computational Physics (physics.comp-ph)
    arXiv:
    2412.03090 [pdf]
    EPJA(2025)·7 citations

Affiliations

first authorsco-authorsvia INSPIRE