Deformation effect on shell structure for Zr isotopic chain in RMF theory

The total binding energy of nuclei for Zr isotopic chain is calculated by the spherical and axial deformed relativistic mean-field (RMF) theory respectively, and the energy contribution due to the deformation (i.e.,deformation correction energy) is extracted.It is found that the neutron-rich nuclei in the isotopic chain have large prolate deformation, and corresponding deformation correction energy can be up to 10 MeV. The shell correction energy is obtained by the difference between the binding energies calculated by the liquid model and those by the RMF calculations. Detailed analysis indicates that the deformation weakens the shell effect of N = 50 remarkably. Especially for the neutron-rich nuclei, large deformation leads to disappearance of the N = 50 shell structure. (authors)