Description of ¹⁷⁸Hf^m2 in the Constrained Relativistic Mean Field Theory

Properties of the ground state of ¹⁷⁸Hf and the isomeric state ¹⁷⁸Hf^m2 are studied within the adiabatic and diabatic constrained relativistic mean field (RMF) approaches. The RMF calculations reproduce well the binding energy and the deformation for the ground state of ¹⁷⁸Hf. Using the ground state single-particle eigenvalues obtained in the present calculation, the lowest excitation configuration with K^π=16⁺ is found to be ν(7/2^-514)^-1(9/2⁺624)¹ π(7/2⁺404)^-1(9/2514)¹. Its excitation energy calculated by the RMF theory with time-odd fields taken into account is equal to 2.801MeV, i.e., close to the ¹⁷⁸Hf^m2 experimental excitation energy 2.446MeV. The self-consistent procedure accounting for the time-odd component of the meson fields is the most important aspect of the present calculation.