6533b839fe1ef96bd12a5919

RESEARCH PRODUCT

Quark model description of the tetraquark stateX(3872)in a relativistic constituent quark model with infrared confinement

subject

description

We explore the consequences of treating the $X(3872)$ meson as a tetraquark bound state. As dynamical framework we employ a relativistic constituent quark model which includes infrared confinement in an effective way. We calculate the decay widths of the observed channels $X\ensuremath{\rightarrow}J/\ensuremath{\psi}+2\ensuremath{\pi}(3\ensuremath{\pi})$ and $X\ensuremath{\rightarrow}{\overline{D}}^{0}+{D}^{0}+{\ensuremath{\pi}}^{0}$ via the intermediate off-shell states $X\ensuremath{\rightarrow}J/\ensuremath{\psi}+\ensuremath{\rho}(\ensuremath{\omega})$ and $X\ensuremath{\rightarrow}\overline{D}+{D}^{*}$. For reasonable values of the size parameter ${\ensuremath{\Lambda}}_{X}$ of the $X(3872)$ we find consistency with the available experimental data. We also discuss the possible impact of the $X(3872)$ in a s-channel dominance description of the $J/\ensuremath{\psi}$ dissociation cross section.