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   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)
 
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