Possible molecular states from interactions of charmed baryons

Abstract

In this work, we perform a systematic study of possible molecular states composed of two charmed baryons including hidden-charm systems $\hat{I}{›}_c\bar{\hat{I}}{›}_c$, $\hat{I}{\pounds }_c^{(\ast )}\bar{\hat{I}}{\pounds }_c^{(\ast )}$, and $\hat{I}{›}_c\bar{\hat{I}}{\pounds }_c^{(\ast )}$, and corresponding double-charm systems $\hat{I}{›}_c\hat{I}{›}_c$, $\hat{I}{\pounds }_c^{(\ast )}\hat{I}{\pounds }_c^{(\ast )}$, and $\hat{I}{›}_c\hat{I}{\pounds }_c^{(\ast )}$. With the help of the heavy quark chiral effective Lagrangians, the interactions are described with $\ddot{I}€$, $\ddot{I}$, $\hat{I}\cdot$, $\ddot{I}‰$, $\ddot{I}•$, and $\ddot{I}ƒ$ exchanges. The potential kernels are constructed, and inserted into the quasipotential Bethe-Salpeter equation. The bound states from the interactions considered is studied by searching for the poles of the scattering amplitude. The results suggest that strong attractions exist in both hidden-charm and double-charm systems considered in the current work, and bound states can be produced in most of the systems. More experiment studies about these molecular states are suggested though the nucleon-nucleon collison at LHC and nucleon-antinucleon collison at $\bar{\mathrm{P}}\mathrm{ANDA}$.

7 pages, 5 figures