------------------------------------------------------------ RECORD NO.: 2995990 INSPEC Abstract No: A87128977 AUTHOR: Dallacasa, V.; Cook, N.D. CORP SOURCE: Dipartimento di Fisica, Parma Univ., Italy TITLE: The FCC nuclear model. I. Equivalence between the FCC lattice and nucleon eigenstates and the correspondence with the spin-orbit model SOURCE: Nuovo Cimento A, vol.97A, ser.2, no.1, p. 157-83 ISSN: 0369-3546 CODEN: NIFAAM PLACE OF PUBL: Italy TRANSLATED IN: A14 LANGUAGE: English YEAR: Jan. 1987 TREATMENT: T Theoretical or Mathematical ABSTRACT: There is an unambiguous geometrical representation of nuclear 'quantum space' which is analogous to the electron orbitals of the hydrogen atom. In both the atom and the nucleus, the position of each fermion relative to the axes of 'quantum space' is dependent upon the particle's eigenvalues. In the nuclear realm, the geometry of eigenstates corresponds precisely with the symmetries of an antiferromagnetic face-centred cubic (FCC) lattice with alternating isospin layers. The correspondence between the eigenstates of the Schrodinger equation and the FCC lattice is demonstrated and the relationship between the spin-orbit model and the FCC model is discussed. The random-phase- approximation (RPA) technique is used to examine the ground and excited states of the FCC lattice (28 Refs.) DESCRIPTORS: eigenvalues and eigenfunctions; nuclear energy levels; nuclear isospin; nuclear structure theory; RPA calculations; Schrodinger equation IDENTIFIERS: RPA technique; nuclear quantum space; quantum space axes; FCC lattice; FCC nuclear model; FCC lattice; nucleon eigenstates; spin-orbit model; electron orbitals; eigenvalues; symmetries; face-centred cubic; eigenstates; Schrodinger equation; spin-orbit model; random-phase- approximation; excited states CLASS CODES: A2110H (Spin, parity, and isobaric spin); A2110M (Level density and structure); A2160 (Nuclear-structure models and methods); A2160J (Hartree-Fock and random-phase approximations) ------------------------------------------------------------