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Title: Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions

Abstract

The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.

Authors:
; ; ; ; ;  [1]
  1. Physics Department, Faculty of Science, University of Zagreb (Croatia)
Publication Date:
OSTI Identifier:
21199607
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 79; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.79.034303; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; COLLECTIVE EXCITATIONS; CORRELATIONS; DEGREES OF FREEDOM; EIGENVALUES; ENERGY DENSITY; EVEN-EVEN NUCLEI; FLUCTUATIONS; GADOLINIUM ISOTOPES; HAMILTONIANS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; POTENTIAL ENERGY; PROBABILITY; QUADRUPOLES; RELATIVISTIC RANGE; SPECTRA; SURFACES; SYMMETRY BREAKING

Citation Formats

Niksic, T, Li, Z P, Vretenar, D, Prochniak, L, Meng, J, Ring, P, Institute of Physics, Maria Curie-Sklodowska University, Lublin, School of Physics, Peking University, Beijing, and Physik-Department der Technischen Universitaet Muenchen, Garching. Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.79.034303.
Niksic, T, Li, Z P, Vretenar, D, Prochniak, L, Meng, J, Ring, P, Institute of Physics, Maria Curie-Sklodowska University, Lublin, School of Physics, Peking University, Beijing, & Physik-Department der Technischen Universitaet Muenchen, Garching. Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions. United States. https://doi.org/10.1103/PHYSREVC.79.034303
Niksic, T, Li, Z P, Vretenar, D, Prochniak, L, Meng, J, Ring, P, Institute of Physics, Maria Curie-Sklodowska University, Lublin, School of Physics, Peking University, Beijing, and Physik-Department der Technischen Universitaet Muenchen, Garching. 2009. "Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions". United States. https://doi.org/10.1103/PHYSREVC.79.034303.
@article{osti_21199607,
title = {Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions},
author = {Niksic, T and Li, Z P and Vretenar, D and Prochniak, L and Meng, J and Ring, P and Institute of Physics, Maria Curie-Sklodowska University, Lublin and School of Physics, Peking University, Beijing and Physik-Department der Technischen Universitaet Muenchen, Garching},
abstractNote = {The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.},
doi = {10.1103/PHYSREVC.79.034303},
url = {https://www.osti.gov/biblio/21199607}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 3,
volume = 79,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2009},
month = {Sun Mar 15 00:00:00 EDT 2009}
}