Nuclear charge-exchange excitations in localized covariant density functional theory

Abstract

Abstract. The recent progress in the studies of nuclear charge-exchange excitations with localized covariant density functional theory is briefly presented, by taking the fine structure of spin-dipole excitations in 16 O as an example. It is shown that the constraints introduced by the Fock terms of the relativistic Hartree-Fock scheme into the particle-hole residual interactions are straightforward and robust.

Multidimensionally constrained covariant density functional theories—nuclear shapes and potential energy surfaces

“…We can solve the RMF equations either in the coordinate r space or in a complete basis. These equations and various extensions were already solved in r space for spherical nuclei, including the RMF equations [167,168], the relativistic Hartree-Bogoliubov (RHB) equations [169][170][171][172][173][174], the relativistic Hartree-Fock (RHF) equations [175][176][177][178][179][180], and the random phase approximation based on the RMF and RHF models [181][182][183]. For deformed nuclei, however, it is very difficult to do so because, in addition to conventional complications related to two-dimensional or three-dimensional spatial lattice techniques [184][185][186][187], one also has to deal with problems of the variational collapse 5 and fermion doubling in the relativistic framework.…”