Reflection asymmetric relativistic mean field approach and its application to the octupole deformed nucleus ²²⁶Ra

A reflection asymmetric relativistic mean field (RAS-RMF) approach is developed by expanding the equations of motion for both the nucleons and the mesons on the eigenfunctions of the two-centre harmonic-oscillator potential. The efficiency and reliability of the RAS-RMF approach are demonstrated in its application to the well-known octupole deformed nucleus ²²⁶Ra and the available data, including the binding energy and the deformation parameters, are well reproduced.