论文标题
在光核中的各向异性多簇模型
Anisotropic multicluster model in light nuclei
论文作者
论文摘要
多簇模型认为核子可以在细胞核中的不同中心周围移动。这些模型已被广泛用于描述光核，但始终考虑平均场是由具有不同中心的各向同性谐波振荡器组成的。在这项工作中，我们通过使用各向异性谐波振荡器提出了这些模型的扩展。这些振荡器的strenght，不同中心之间的距离和每个群集内部核子的处置是使用变异标准固定的自由参数。我们已经使用了具有动能项的哈密顿量和现象学的两体潜力，例如Volkov V2潜力。所有一体和两体矩阵元素均已分析计算。只有在欧拉角上的数值集成，就需要对状态总旋转及其第三个成分的值进行投影。我们已经研究了基态，第一个be，12 c和10的激发状态为能量取得了良好的效果。还通过在不同的笛卡尔平面上使用投影来比使用径向一体密度时获得更多的信息来分析核子在不同簇中的处置。
Multicluster models consider that the nucleons can be moving around different centers in the nuclei. These models have been widely used to describe light nuclei but always considering that the mean field is composed of isotropic harmonic oscillators with different centers. In this work, we propose an extension of these models by using anisotropic harmonic oscillators. The strenghts of these oscillators, the distance among the different centers and the disposition of the nucleons inside every cluster are free parameters which have been fixed using the variational criterion. We have used a hamiltonian with the kinetic energy terms and a phenomenological two-body potential like Volkov V2 potential. All the one-body and two-body matrix elements have been analytically calculated. Only a numerical integration on the Euler angles, it is needed to carry out the projection on the values of the total spin of the state and its third component. We have studied the ground state and the first excited states of 8 Be, 12 C and 10 Be getting good results for the energies. The disposition of the nucleons in the different clusters have been also analyzed by using projection on the different cartesian planes getting much more information than when the radial one-body density is used.
