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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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