X(3872) and the bound state problem of $D^0\bar{D}^{\ast0}$ ($\bar{D}^0{D}^{\ast0}$) in a chiral quark model

Understand

The bound state problem of $D^0\bar{D}^{\ast0}$ ($\bar{D}^0{D}^{\ast0}$) is relevant to the molecular interpretation of the X(3872).

• We investigated this problem in a chiral quark model by solving the resonating group method equation.
• We found the system is unbound through S-wave $\pi$ and $\sigma$ interactions.
• The inclusion of $\rho$ and $\omega$ meson exchanges is helpful to the formation of a molecule.