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

Abstract

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.

Authors:
 [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)
Publication Date:
OSTI Identifier:
20957899
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevLett.99.032502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DEFORMED NUCLEI; EVALUATION; EXCITATION; HAMILTONIANS; INTERACTIONS; PERFORMANCE; PROBABILITY; QUADRUPOLE MOMENTS

Citation Formats

Bertsch, G F, Girod, M, Hilaire, S, Delaroche, J -P, Goutte, H, and Peru, S. Systematics of the First 2{sup +} Excitation with the Gogny Interaction. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.99.032502.
Bertsch, G F, Girod, M, Hilaire, S, Delaroche, J -P, Goutte, H, & Peru, S. Systematics of the First 2{sup +} Excitation with the Gogny Interaction. United States. https://doi.org/10.1103/PHYSREVLETT.99.032502
Bertsch, G F, Girod, M, Hilaire, S, Delaroche, J -P, Goutte, H, and Peru, S. 2007. "Systematics of the First 2{sup +} Excitation with the Gogny Interaction". United States. https://doi.org/10.1103/PHYSREVLETT.99.032502.
@article{osti_20957899,
title = {Systematics of the First 2{sup +} Excitation with the Gogny Interaction},
author = {Bertsch, G F and Girod, M and Hilaire, S and Delaroche, J -P and Goutte, H and Peru, S},
abstractNote = {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.},
doi = {10.1103/PHYSREVLETT.99.032502},
url = {https://www.osti.gov/biblio/20957899}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 3,
volume = 99,
place = {United States},
year = {Fri Jul 20 00:00:00 EDT 2007},
month = {Fri Jul 20 00:00:00 EDT 2007}
}