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Phys. Rev. C 62, 044311 (2000) [15 pages]

Proton-neutron self-consistent quasiparticle random phase approximation within the O(5) model

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D. S. Delion
Institute of Physics and Nuclear Engineering, Bucharest Măgurele, POB MG-6, Romania

J. Dukelsky
Instituto de Estructura de la Materia, Serrano 123, E-28006 Madrid, Spain

P. Schuck
CNRS-IN2P3 Universite Joseph Fourier, Institut des Sciences Nucleaires, 53 Avenue des Martyrs, F-38026 Grenoble Cedex, France

E. J. V. de Passos
Instituto de Física, Universidade de São Paulo, C.P. 66318, 05389-970 São Paulo, Brazil

F. Krmpotić
Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C. C. 67, 1900 La Plata, Argentina

Received 22 March 2000; published 11 September 2000

The self-consistent quasiparticle random phase approximation (SCQRPA) within the O(5) model in the coupled proton-neutron representation is analyzed. The exact vacuum wave function is used to compute all involved matrix elements. A stability analysis of the stationary points is performed. A phase transition from the uncoupled to the coupled stable proton-neutron regime beyond the QRPA breakdown value of the particle-particle strength is evidenced. The excitation energies are close to the lowest stable exact eigenvalues given by the diagonalization procedure for all cases. The conditions for which the Ikeda sum rule is fulfilled for all values of the particle-particle strength are pointed out.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.62.044311
DOI:
10.1103/PhysRevC.62.044311
PACS:
21.60.Jz, 23.40.Hc, 23.90.+w