Relativistic Hartree-Fock model for axially deformed nuclei

Abstract

Axially deformed relativistic Hartree-Fock (RHF) model with density-dependent meson-nucleon couplings is established in this work, in which the integrodifferential Dirac equations are solved by expanding the Dirac spinor on the spherical Dirac Woods-Saxon base. Using the RHF Lagrangians $\mathrm{PKO}i$ ($i=1,2,3$), the reliability of the method has been illustrated by taking the light $^{20}\mathrm{Ne}$, midheavy $^{56}\mathrm{Fe}$, and heavy Pb isotopes as examples. As a preliminary application, the systematic study of $^{20}\mathrm{Ne}$ shows that PKO1 and PKO3, which contain the $\ensuremath{\pi}$-pseudovector ($\ensuremath{\pi}$-PV) coupling, improve the description of the binding energy of $^{20}\mathrm{Ne}$, as compared to PKO2 and the selected RMF Lagrangian. Moreover, it is found that the tensor force components carried by the $\ensuremath{\pi}$-PV coupling can present substantial effects in determining the shape evolution of nucleus.