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Title: Damping of collective states in an extended random-phase approximation with ground-state correlations

Journal Article · · Physical Review. C, Nuclear Physics
 [1]
  1. Kyorin University School of Medicine, Mitaka, Tokyo 181-8611 (Japan)

Applications of an extended version of the Hartree-Fock theory and the random-phase approximation derived from the time-dependent density-matrix theory (TDDM) are presented. In this TDDM-based theory, the ground state is given as a stationary solution of the TDDM equations and the excited states are calculated using the small-amplitude limit of TDDM. The first application presented is an extended Lipkin model in which an interaction term describing a particle scattering is added to the original Hamiltonian so that the damping of a collective state is taken into account. It is found that the TDDM-based theory well reproduces the ground state and excited states of the extended Lipkin model. The quadrupole excitation of the oxygen isotopes {sup 16,20,22}O is also studied as realistic applications of the TDDM-based theory. It is found that large fragmentation of the giant quadrupole resonance in {sup 16}O is reproduced, and it is pointed out that the effects of ground-state correlations are quite important for fragmentation. It is also found that the quadrupole states in neutron-rich oxygen isotopes have small spreading widths.

OSTI ID:
20995203
Journal Information:
Physical Review. C, Nuclear Physics, Vol. 75, Issue 4; Other Information: DOI: 10.1103/PhysRevC.75.044310; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
Country of Publication:
United States
Language:
English