Research Information System
Cumhuriyet Faculty of Science Science Journal, vol.33, pp.8-22, 2012 (Peer-Reviewed Journal)
Pseudospin symmetry was observed in spherical nuclei about fifty years ago. Origin of the symmetry has been not found until the last decade. In recent decade, it was understood that this symmetry appears when there are equal in magnitude attractive scalar and repulsive vector potentials (but they have opposite sign) in nuclei. This situation can provide possibility to investigate pseudospin symmetry within the relativistic mean field (RMF) theory which has been used to carry out many ground-state properties of nuclei successfully, because RMF theory includes the near equality in magnitude attractive scalar and repulsive vector potentials. Restoration of the single-particle energy levels within the framework of the pseudospin symmetry is different from usual restoration of single-particle energy levels. Because of this reason, an investigation of how change the single-particle spectra according to the deformation of nuclei can be interesting. In this study, the change of pseudospin partners according to quadrupole deformation parameter in the neutron and proton single-particle spectrum of the 166Gd nucleus which is known well deformed experimentally are investigated within the RMF theory. Also, the concepts of pseudospin symmetry and RMF theory are given in detail.