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 ${\Lambda }_c{\bar{\Lambda }}_c$, ${\Sigma }_c^{(\ast )}{\bar{\Sigma }}_c^{(\ast )}$, and ${\Lambda }_c{\bar{\Sigma }}_c^{(\ast )}$, and corresponding double-charm systems ${\Lambda }_c{\Lambda }_c$, ${\Sigma }_c^{(\ast )}{\Sigma }_c^{(\ast )}$, and ${\Lambda }_c{\Sigma }_c^{(\ast )}$. With the help of the heavy quark chiral effective Lagrangians, the interactions are described with $\pi$, $\rho$, $\eta$, $\omega$, $\varphi$, and $\sigma$ 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 $\bar{\mathrm{P}}\mathrm{ANDA}$.

Comments: 7 pages, 5 figures