Level density of odd-A nuclei at saddle point

Based on the covariant density functional theory, by employing the core-quasiparticle coupling model, thenuclear level density of odd-A nuclei at saddle point is achieved. The total level density is calculated by convolution of the intrinsic level density and the collective level density. The intrinsic level densities is obtained in the finite-temperature covariant density functional theory which takes into account the nuclear deformation and pairing self-consistently. For saddle points on the free energy surface in the (β2, γ) plane, the entropy as well as the associated intrinsic level density are compared with those of the global minima. By introducing a quasiparticle to the two neighboring even-even core nuclei, where their properties are determined by the five-dimensional collective Hamiltonian model, the collective levels of odd-A nucleus is obtained by the core-quasiparticle coupling model. It shows that the total level densities of the 234-240U are in good agreement with the available experimental data and S. Hilaire’s result. Furthermore, the ratio of the total level densities at the saddle points to those at the global minima, and the ratio of the total level densities to the intrinsic level densities are discussed separately.