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HAL: in2p3-00349047, version 1

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Physical Review Letters 102 (2009) 112502 (4 pages)
Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
J. E. Garcia-Ramos1, A. Leviatan2, P. Van Isacker3
(2009)

A generic procedure is proposed to construct many-body quantum Hamiltonians with partial dynamical symmetry. It is based on a tensor decomposition of the Hamiltonian and allows the construction of a hierarchy of interactions that have selected classes of solvable states. The method is illustrated in the SO(6) limit of the interacting boson model of atomic nuclei and applied to the nucleus $^{196}$Pt.
1:  Department of Applied Physics
2:  Racah Institute of Physics
3:  GANIL - Grand Accélérateur National d'Ions Lourds
Physics/Nuclear Theory
Fulltext link: 
http://fr.arXiv.org/abs/0812.4109