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Title: Systematics of the First 2{sup +} Excitation with the Gogny Interaction

Journal Article · · Physical Review Letters
 [1]; ; ; ; ;  [2]
  1. Department of Physics and Institute of Nuclear Theory, Box 351560, University of Washington, Seattle, Washington 98915 (United States)
  2. CEA/DAM Ile de France, DPTA/Service de Physique Nucleaire, BP 12, 91680 Bruyeres-le-Chatel (France)

We report the first comprehensive calculations of 2{sup +} excitations with a microscopic theory applicable to over 90% of the known nuclei. The theory uses a quantal collective Hamiltonian in five dimensions. The only parameters in theory are those of the finite-range, density-dependent Gogny D1S interaction. The following properties of the lowest 2{sup +} excitations are calculated: excitation energy, reduced transition probability, and spectroscopic quadrupole moment. We find that the theory is very reliable to classify the nuclei by shape. For deformed nuclei, average excitation energies and transition quadrupole moments are within 5% of the experimental values, and the dispersion about the averages are roughly 20% and 10%, respectively. Including all nuclei in the performance evaluation, the average transition quadrupole moment is 11% too high and the average energy is 13% too high.

OSTI ID:
20957899
Journal Information:
Physical Review Letters, Vol. 99, Issue 3; Other Information: DOI: 10.1103/PhysRevLett.99.032502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
Country of Publication:
United States
Language:
English

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