Geometrical structure and critical phenomena in the fermion dynamical symmetry model: Sp(6)
- 1 September 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 38 (3), 1475-1487
- https://doi.org/10.1103/physrevc.38.1475
Abstract
A description of the intrinsic (geometrical) structure of the Sp(6) fermion dynamical symmetry model is presented using the coherent state method. A detailed analytical study of the critical behavior of this model is given for the intrinsic ground state as a function of the fundamental control parameter: the valence particle number. The results show that the effect of the Pauli principle is to ‘‘limit’’ the deformation and to cause a transition from axial to triaxial symmetry.This publication has 11 references indexed in Scilit:
- Dynamical Pauli effects and the saturation of nuclear collectivityPhysics Letters B, 1988
- Geometrical structure and critical phenomena in the fermion dynamical symmetry model: SO(8)Physical Review C, 1988
- Geometrical interpretation of SO(7): A critical dynamical symmetryPhysical Review Letters, 1987
- Fermion dynamical symmetry model of nuclei: Basis, Hamiltonian, and symmetriesPhysical Review C, 1987
- Correspondence between the interacting boson model and the fermion dynamical symmetry model of nucleiPhysical Review C, 1986
- Coherent states for bosons and fermions: A tutorialProgress in Particle and Nuclear Physics, 1983
- A schematic model for monopole and quadrupole pairing in nucleiAnnals of Physics, 1980
- Lie Groups, Lie Algebras, and Some of Their ApplicationsPhysics Today, 1974
- Geometry of symmetrized statesAnnals of Physics, 1972
- Coherent states for arbitrary Lie groupCommunications in Mathematical Physics, 1972