2009/03/22 by V. S. Popov, Vladimir Popov, Popov, Vladimir +8
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Nuclear physics research studies #Quantum, superfluid, helium dynamics #Solar and Stellar Astrophysics (astro-ph.SR) #astro-ph.SR
paper · pdf · doi:10.48550/arxiv.0903.3727
5 pages, 3 figures
arxiv created 2009/03/22 · openalex publication_date 2009/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a unified treatment of nuclear density cores recovering the classic results for neutral atoms with heavy nuclei having a mass number A≈ 102--106 and extrapolating these results to massive nuclear density cores with A≈(m\rm Planck/mn)3 ∼ 1057. The treatment consists of solving the relativistic Thomas-Fermi equation describing a system of Nn neutrons, Np protons and Ne electrons in beta decay equilibrium. The Np protons are distributed at a constant density within a spherical core of radius Rc. A new island of stability is found for A > AR = 0.039(Np/A)1/2(mPlanck/mn)3. The Coulomb repulsion, screened by relativistic electrons, is balanced by the gravitational self-interaction of the core. In analogy to heavy nuclei they present, near their surface, an overcritical electric field. The relation between A and Np is generalized to an arbitrary value of the mass number, and the phenomenological relations for A < 1.5⋅ 102 are obtained as a limiting case.