Coexsitence of Three Foundamental Symmetries in One Nucleus

Near degeneracy between two quantum states is usually associated with fundamental symmetries and symmetry breakings in complex many-body systems like atomic nuclei.Pseudospin symmetry was introduced to describe energy degeneracy between single-particle states with quantum numbers(n,l,j=l+1/2)and(n-1,l+2,j=l+3/2)[1-3].