含粲四夸克态的夸克势模型研究

从x(3872)被发现以来,物理学家对含粲共振态产生了浓厚的兴趣,组分夸克模型对传统的两夸克组成的介子和三夸克组成的重子能谱解释得十分到位。文章以变分法解四夸克体系的薛定谔方程用以解释含粲共振态质量,主要是用谐振子波函数展开四夸克波函数的空间部分,通过四体Moshinsky变换等方式得到任意两个夸克的相互作用。

Since the discovery of X(3872), physicists have developed a strong interest in the resonance with charm. The component quark model has a very good explanation for the energy spectrum of baryons composed of two quarks and three quarks. In this paper, the Schrodinger equation of the four quark system is solved by the variational method to explain the mass of the four quark system with charm. The main way is to expand the space part of the four quark wave function by the harmonic wave function. The interaction of any two quarks is obtained by the four body Moshinsky transformation.