2000/06/06 by B. V. Carlson, D. Hirata · 109 citations
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Dirac (video compression format) #Ground state #Hartree #Hartree–Fock method #Mathematical physics #Mathematics #Neutron #Nuclear physics research studies #Pairing #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Tensor (intrinsic definition) #Wave function #nucl-th
paper · pdf · doi:10.1103/physrevc.62.054310
published in Physical Review C 62(5) (American Institute of Physics) · 43 pages, RevTex, 13 figures
arxiv created 2000/06/06 · openalex publication_date 2000/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a complete Dirac-Hartree-Fock-Bogoliubov approximation to the ground state wave function and energy of finite nuclei. We apply it to spin-zero proton-proton and neutron-neutron pairing within the Dirac-Hartree-Bogoliubov approximation (we neglect the Fock term), using a zero-range approximation to the relativistic pairing tensor. We study the effects of the pairing on the properties of the even-even nuclei of the isotopic chains of Ca, Ni, and Sn (spherical) and Kr and Sr (deformed), as well as the N=28 isotonic chain, and compare our results with experimental data and with other recent calculations.