Analysis of the Peierls-Yoccoz rotational energy of nuclei with a semi-realistic interaction
| Autor: | K. Abe, H. Nakada |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review C. 106 |
| ISSN: | 2469-9993 2469-9985 |
| DOI: | 10.1103/physrevc.106.054317 |
| Popis: | The Peierls-Yoccoz (PY) rotational energy of nuclei has been analyzed by the angular-momentum projection (AMP) 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. 37 pages, 17 figures |
| Databáze: | OpenAIRE |
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