------------------------------------------------------------ RECORD NO.: 929060 INSPEC Abstract No: A76060544 AUTHOR: de Llano, M.; Plastino, A. CORP SOURCE: Inst. de Fisica, Univ. de Mexico, Mexico TITLE: Hartree-Fock states in the thermodynamic limit SOURCE: Physical Review A (General Physics), vol.13, no.4, p. 1633- 40 ISSN: 0556-2791 CODEN: PLRAAN PLACE OF PUBL: USA LANGUAGE: English YEAR: April 1976 TREATMENT: T Theoretical or Mathematical ABSTRACT: The energy is minimized, as a function of particle density and coupling of a class of two-parameter single particle orbitals which explicitly satisfy the full Hartree-Fock equations for occupied states in the thermodynamic limit. A delta -function internucleon potential yields stabler states than the plane-wave Hartree-Fock solutions, for sufficiently strong coupling and/or high density. Minimizing the energy with respect to the free parameters gives either first- or second-order transitions, with bifurcation of the new energy state from the old. The relevance of the model to neutron star and nuclear star matter, to the possibility of Pauling's 'close-packed spheron' structure, and to the electron-gas problem is discussed (10 Refs.) DESCRIPTORS: Hartree-Fock method; neutron stars; nuclear forces; nuclear theory IDENTIFIERS: thermodynamic limit; particle density; strong coupling; high density; neutron star; nuclear star matter; two parameter single particle orbitals; Hartree Fock equations; delta function internucleon potential; electron gas; Paulings close packed spheron CLASS CODES: A2130 (Nuclear forces); A2160J (Hartree-Fock and random- phase approximations in nuclei); A9530 (Fundamental aspects of astrophysics) ------------------------------------------------------------