Electric $1^+$ state below nuclear scissors

Abstract

The solution of time dependent Hartree-Fock-Bogoliubov equations by the Wigner function moments method predicts four low-lying $1^+$ states. Three of them are known as various scissors modes. Fourth state is disposed below all scissors modes and has the electrical nature. It is found that it represents one of three branches of $2^+$ state which can exist in spherical nuclei and which is split in deformed nuclei. It is discovered, that the antiferromagnetic properties of nuclei lead to the splitting of $2^+$ states already at the zero deformation.