论文标题
$^{12} $ c核的有效质量为$α$ - 簇
Effective Mass of $α$-Cluster in $^{12}$C Nucleus
论文作者
论文摘要
基于有效的质量概念,我们对3 $α$状态的低洼频谱进行$^{12} $ c核的faddeev计算。三体电位用于描述核中3 $α$ cluster结构的已知破裂。我们表明,可以通过增加/减少$α$ - 粒子的无粒子质量来补偿三体潜力对哈密顿量的贡献。调整有效的质量值,以便重现$^{12} $ C核的实验数据。讨论了有效质量的能量依赖性以及与三体潜力的相关性。我们表明,$ 0^+$($ 2^+$)之间的耦合构成了在能量/有效质量平面上进行反交叉的特定图片。
Based on the effective-mass concept, we perform the Faddeev calculations for a low-lying spectrum of 3$α$ states in $^{12}$C nucleus. A three-body potential is used to describe the known breaking of the 3$α$-cluster structure in the nucleus. We show that the contribution of the three-body potential to the Hamiltonian can be compensated by increasing/decreasing the $α$-particle free mass. The effective-mass values are adjusted so that to reproduce the experimental data for the $^{12}$C nucleus. The energy dependence of the effective mass and the correlation to a three-body potential are discussed. We show that the coupling between the $0^+$ ($2^+$) levels forms a specific picture of anti-crossing on the energy/effective-mass plane.