论文标题
研究$ D_1D $分子在Bethe-Salpeter方程方法中
Studying the $D_1D$ molecule in the Bethe-Salpeter equation approach
论文作者
论文摘要
我们研究了梯子和瞬时近似值的伯特 - 盐（BS）形式主义中$ d_1d $系统的可能结合状态。通过使用包含一粒子交换图的内核求解BS方程，并在顶点引入了三个不同的形式（单极，偶极和指数型形式），我们研究了等isscalar和Isovetor $ d_1d $界面是否可能存在。我们发现$ y（4260）$可以作为$ d_1d $分子容纳，而$ z_2^+（4250）$的解释为$ d_1d $分子是不利的。 $ y（4260）$的底部类似物可能存在，但$ z_2^+（4250）$的模拟不存在。
We study the possible bound states of the $D_1D$ system in the Bethe-Salpeter (BS) formalism in the ladder and instantaneous approximations. By solving the BS equation numerically with the kernel containing one-particle exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) at the vertices, we investigate whether the isoscalar and isovector $D_1D$ bound states may exist, respectively. We find that $Y(4260)$ could be accommodated as a $D_1D$ molecule, whereas the interpretation of $Z_2^+(4250)$ as a $D_1D$ molecule is disfavored. The bottom analog of $Y(4260)$ may exist but that of $Z_2^+(4250)$ does not.
