论文标题
$ d^{\ ast} \ bar {d}^{\ ast} $和$ b^{\ ast} \ bar {b}^{\ ast {\ ast {\ ast {\ ast {\ AST} $
Scalar Bound States of $D^{\ast}\bar{D}^{\ast}$ and $B^{\ast}\bar{B}^{\ast}$ in the Bethe-Salpeter Formalism
论文作者
论文摘要
我们研究$ d^{\ ast} \ bar {d}^{\ ast} $和$ b^{\ ast} \ bar {b}^{b}^{\ ast} $的标量状态。协变瞬时近似。结果表明，在标量案例（$ j = 0 $）中，只能存在$ i = 0 $在适当范围内的参数绑定状态，而在整个合理参数范围内$ i = 1 $绑定的状态由于我们对伯特 - 盐poter波函数的定义而产生的限制更大。
We study the scalar bound states of $D^{\ast}\bar{D}^{\ast}$ and $B^{\ast}\bar{B}^{\ast}$ in the Bethe-Salpeter formalism, with the effective interaction kernel extracted from the chiral perturbative theory and the heavy quark effective theory in the ladder approximation and the covariant instantaneous approximation. The results show that, in the scalar case ($J=0$), there can only exist $I = 0$ bound states for parameters in proper range, while there cannot exist the $I = 1$ bound states in the whole reasonable parameter range, due to more constraints arising from our definition of the Bethe-Salpeter wavefunction.
