Analysis of the Peierls-Yoccoz rotational energy of nuclei with a semi-realistic interaction

The Peierls-Yoccoz (PY) rotational energy of nuclei has been analyzed by the angular-momentum projection on the axial Hartree-Fock solutions, by using the semi-realistic effective Hamiltonian M3Y-P6. The rotational energy is decomposed into contributions of the individual terms of the Hamiltonian, and their ratios to the total PY rotational energy are calculated. Except for light or weakly deformed nuclei, the ratios of the individual terms of the Hamiltonian are insensitive to nuclides and deformation. The contributions of kinetic energies are large and close to the rigid-rotor values, although those of central forces are sizable. For light or weakly deformed nuclei, the ratios significantly depend on nuclei and deformation. The contributions of noncentral forces are not negligible. Regardless of nuclides, the attractive forces decrease the moment of inertia, and the repulsive forces increase it. A general formula for the PY rotational energy is derived, which suggests that higher-order terms of the cumulant expansion play roles in the rotational energy and the moment of inertia for light or weakly deformed nuclei.

Automated summary

This study analyzes the PY rotational energy of nuclei through angular-momentum projection and an effective Hamiltonian, revealing that for light or weakly deformed nuclei, the ratios of individual Hamiltonian contributions are closely related to nuclides and deformation.