Speaker
Description
X(4260) and X(4360) mesons
Summary
We investigate $\rho D \bar{D}$ three body system using the fixed center approximation to the Faddeev equations. The study is made assuming scattering of a $\rho$ or a $\bar{D}$ on a $D \bar{D}$ cluster, which is known to generate the $X(3700)$ or a $\rho D$ cluster, which
has been shown to generate the $D_{1}(2420)$. In the case of the $\rho-X(3700)$ scattering we find a state with mass around $4320$ MeV and width is about $25$ MeV for the total three body isospin-1. Considering the $\bar{D}-D_{1}(2420)$ scattering we obtain a state with mass around $4256$ MeV and width is similar to that of the $\rho-X(3700)$ state for the $I=1$ case. For the case of the $I=0$ we find a state with mass around $4241$ MeV and width is about $20$ MeV. In all cases we find bound states and for $I=1$ case the states could be associated with $X(4260)$ and $X(4360)$ mesons.
