Relativistic RPA in axial symmetry

Abstract

Covariant density functional theory, in the framework of self-consistent Relativistic Mean Field (RMF) and Relativistic Random Phase approximation (RPA), is for the first time applied to axially deformed nuclei. The fully self-consistent RMF+RRPA equations are posed for the case of axial symmetry and non-linear energy functionals, and solved with the help of a new parallel code. Formal properties of RPA theory are studied and special care is taken in order to validate the proper decoupling of spurious modes and their influence on the physical response. Sample applications to the magnetic and electric dipole transitions in ${}^{20}$Ne are presented and analyzed.

23 pages, 13 figures

References in corpus (4)

• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Particle-vibration coupling within covariant density functional theory
• Intrinsic-Density Functionals
• Reduction of the RPA eigenvalue problem and a generalized Cholesky decomposition for real-symmetric matrices

Cited by in corpus (5)

• Relativistic quasiparticle time blocking approximation. Dipole response of open-shell nuclei
• Finite amplitude method for the quasi-particle-random-phase approximation
• Dipole responses in Nd and Sm isotopes with shape transitions
• The quest for novel modes of excitation in exotic nuclei
• Open problems in nuclear structure near drip lines