Relativistic Hartree-Fock model for axial-symmetric nuclei with quadruple and octupole deformations*

Abstract An axially quadruple-octupole deformed relativistic Hartree-Fock (O-RHF) model with density-dependent meson-nucleon couplings is developed in this study. In this model, the reflection symmetry is not preserved, and the integro-differential Dirac equations are solved by expanding the Dirac spinor on the spherical Dirac Woods-Saxon basis. The reliability of the newly developed O-RHF model is demonstrated by taking the octupole nucleus as an example, and the octupole deformation effects in are analyzed using the RHF Lagrangians PKO i ( ) and RMF Lagrangian DD-ME2. We find that the O-RHF models reproduce the octupole deformation of within the uncertainty of experimental results. Moreover, the presence of the Fock terms can enhance the intrusion of the neutron and proton waves, which leads to enhanced effects of octupole deformation for . In particular, owing to the repulsive tensor coupling between the intruding waves and the core of , the tensor force component carried by the π -PV coupling, which contributes only via the Fock terms, likely plays an unfavorable role in the occurrence of the octupole deformation of .