Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions

Details Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions

2008-11-03

arxiv.org/abs/0811.0233v2

Phys.Rev.C79:034303,2009

Physics

Nuclear Physics

Nuclear Theory

53 pages, 23 figures, accepted for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.79.034303

The framework of relativistic energy density functionals is extended to include correlations related to 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.

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