Mass ofX(3872)in the relativistic quark model

Abstract

Assuming that the narrow state $X(3872)$ is a molecule state consisting of primarily ${D}^{0}{\overline{D}}^{*0}$, we calculate its mass within the constituent quark model. The attractive potential between ${D}^{0}$ and ${\overline{D}}^{*0}$ including one-$\ensuremath{\sigma}$ exchange and one-$\ensuremath{\rho}$ exchange is considered. We introduce the interaction between the heavy meson and light meson through the heavy meson form factor describing the heavy meson structure. The obtained mass of $X$ is consistent with the experimental value. Adopting this method, we study the various molecule states with hidden bottom quark.