论文标题
分析与半现实相互作用的核的Peierls-Yoccoz旋转能
Analysis of Peierls-Yoccoz rotational energy of nuclei with semi-realistic interaction
论文作者
论文摘要
通过使用半现实有效的汉密尔顿M3Y-P6，通过角度摩肌投影（AMP）分析了核的PEIERLS-YOCCOZ（PY）旋转能。旋转能分解为哈密顿式单个项的贡献，并计算出它们与PY总旋转能的比率。除了光或弱化的核外，哈密顿的个体项之比对核素和变形不敏感。动能的贡献很大，并且接近刚性的值，尽管中央力的贡献相当可观。对于光或弱化的核，比率显着取决于核和变形。非中心力的贡献不可忽略。无论核素如何，吸引力都会降低触时的力矩，而排斥力会增加它。得出了PY旋转能的一般公式，这表明累积膨胀的高阶术语在旋转能量中起着作用，而光或弱化的核的触时力矩。
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.
